Prime p₀= 1091636804797390037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 82 2 64 2 58 2 10 2 (?)
a_n: 0 2 84 86 90 92 174 176 240 242 300 302 312 314
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: 314
Found by: stoneageman
db: batch=76, k=14, 82 4 82 64 58 10

SPT(16)	1091635059578409847	0 12 36 64 72 90 196 246 250 300 406 424 432 460 484 496	-1745218980190
SPT(16)	1091635100160879331	0 46 66 72 78 88 136 142 156 162 210 220 226 232 252 298	-1704636510706
SPT(16)	1091635199078499373	0 18 30 34 46 58 168 226 228 286 396 408 420 424 436 454	-1605718890664
SPT(16)	1091635282052060321	0 36 72 78 102 120 156 162 206 212 248 266 290 296 332 368	-1522745329716
SPT(16)	1091635316092963199	0 38 42 48 68 78 84 120 122 158 164 174 194 200 204 242	-1488704426838
STPT(10)	1091635330322370287	0 2 24 26 42 44 60 62 84 86	-1474475019750
STPT(10)	1091636817285532409	0 2 12 14 90 92 168 170 180 182	12488142372
STPT(10)	1091637474895269347	0 2 42 44 132 134 222 224 264 266	670097879310
STPT(10)	1091637660439227257	0 2 30 32 72 74 114 116 144 146	855641837220
SPT(16)	1091637666154076273	0 18 24 44 50 56 128 134 150 156 228 234 240 260 266 284	861356686236
SPT(16)	1091637674331373021	0 6 58 72 108 142 150 156 172 178 186 220 256 270 322 328	869533982984