Prime p₀= 1025683881122156987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 64 2 10 2 58 2 76 2 (?)
a_n: 0 2 42 44 84 86 150 152 162 164 222 224 300 302
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: 302
Found by: stoneageman
db: batch=76, k=14, 40 40 64 10 58 76

SPT(16)	1025682004508074429	0 10 42 70 138 180 192 214 228 250 262 304 372 400 432 442	-1876614082558
STPT(10)	1025682042639882809	0 2 18 20 30 32 42 44 60 62	-1838482274178
STPT(10)	1025682153793950941	0 2 36 38 78 80 120 122 156 158	-1727328206046
STPT(10)	1025682201364793351	0 2 36 38 78 80 120 122 156 158	-1679757363636
STPT(10)	1025682530169714407	0 2 12 14 42 44 72 74 84 86	-1350952442580
SPT(16)	1025683337432963633	0 14 20 26 68 78 86 90 134 138 146 156 198 204 210 224	-543689193354
SPT(16)	1025683884684126509	0 30 44 80 114 134 162 188 234 260 288 308 342 378 392 422	3561969522
SPT(16)	1025684020056458899	0 22 54 64 70 100 138 154 168 184 222 252 258 268 300 322	138934301912
SPT(16)	1025684115198844561	0 12 22 28 36 42 48 78 130 160 166 172 180 186 196 208	234076687574
STPT(10)	1025684328643444409	0 2 18 20 30 32 42 44 60 62	447521287422
SPT(16)	1025684515069154909	0 2 12 72 90 132 140 192 338 390 398 440 458 518 528 530	633946997922