Challenge: sum of squares. Let's break 299

[Allen]

(Note: I beilive these are not unique solutions)
for len 310:
(288, 241, 200, 284, 292, 237, 204, 280, 296, 233, 208, 276, 300, 229, 255, 274, 302, 227, 257, 272, 304, 225, 259, 270, 306, 178, 263, 266, 310, 219, 265, 264, 220, 309, 267, 262, 222, 307, 269, 260, 224, 305, 271, 258, 226, 303, 273, 256, 228, 301, 275, 209, 232, 297, 279, 205, 236, 293, 283, 201, 240, 289, 287, 242, 199, 162, 238, 291, 285, 244, 197, 203, 281, 295, 234, 207, 277, 299, 185, 176, 308, 268, 173, 151, 210, 231, 298, 278, 206, 235, 294, 282, 202, 198, 243, 286, 155, 245, 196, 128, 161, 239, 290, 194, 247, 153, 171, 190, 251, 149, 212, 188, 253, 147, 177, 223, 261, 180, 144, 217, 107, 254, 230, 211, 189, 252, 148, 213, 187, 174, 150, 250, 191, 170, 154, 246, 195, 166, 123, 133, 156, 168, 193, 248, 152, 172, 84, 112, 249, 192, 169, 87, 109, 215, 146, 110, 214, 186, 103, 221, 179, 145, 216, 184, 72, 124, 165, 159, 130, 126, 163, 93, 132, 157, 167, 122, 74, 182, 218, 71, 125, 164, 160, 129, 127, 98, 158, 131, 94, 50, 175, 81, 115, 141, 183, 106, 119, 137, 88, 108, 117, 139, 86, 83, 142, 114, 111, 85, 140, 116, 80, 89, 136, 120, 105, 39, 82, 143, 181, 75, 69, 100, 96, 73, 48, 121, 135, 90, 79, 65, 104, 92, 77, 67, 102, 42, 58, 138, 118, 78, 66, 55, 45, 76, 68, 101, 95, 49, 51, 70, 99, 97, 47, 53, 91, 134, 62, 38, 43, 57, 64, 36, 28, 8, 113, 56, 44, 20, 61, 60, 40, 41, 59, 5, 31, 18, 63, 37, 27, 54, 46, 35, 29, 52, 12, 13, 23, 26, 10, 6, 30, 19, 17, 32, 4, 21, 15, 34, 2, 7, 9, 16, 33, 3, 22, 14, 11, 25, 24, 1)