Prime p₀= 976695725477779001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 4 2 82 2 46 2 10 2 (?)
a_n: 0 2 90 92 120 122 126 128 210 212 258 260 270 272
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: stoneageman
db: batch=76, k=14, 88 28 4 82 46 10

STPT(10)	976694548195237811	0 2 30 32 60 62 90 92 120 122	-1177282541190
SPT(16)	976694659257318877	0 12 66 72 84 102 106 120 256 270 274 292 304 310 364 376	-1066220460124
SPT(16)	976694717944622701	0 48 160 216 232 238 258 276 292 310 330 336 352 408 520 568	-1007533156300
STPT(10)	976694860573074857	0 2 30 32 42 44 54 56 84 86	-864904704144
SPT(16)	976694970786854573	0 50 56 66 80 86 104 146 234 276 294 300 314 324 330 380	-754690924428
SPT(16)	976695093028209419	0 30 44 54 62 78 98 128 144 174 194 210 218 228 242 272	-632449569582
SPT(16)	976695974311266787	0 4 22 40 84 102 112 114 130 132 142 160 204 222 240 244	248833487786
SPT(16)	976696176477909313	0 34 54 76 114 144 166 208 216 258 280 310 348 370 390 424	451000130312
SPT(16)	976696358094021853	0 16 40 58 66 100 114 148 186 220 234 268 276 294 318 334	632616242852
SPT(16)	976696454915840473	0 36 70 94 96 126 148 204 280 336 358 388 390 414 448 484	729438061472
SPT(13)	976696467364293503	0 24 60 66 90 126 150 174 210 234 240 276 300	741886514502