Prime p₀= 1117665702907723637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 118 2 46 2 136 2 58 2 (?)
a_n: 0 2 42 44 54 56 174 176 222 224 360 362 420 422
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: 422
Found by: Fardringle
db: batch=76, k=14, 40 10 118 46 136 58

SPT(16)	1117664487240841997	0 6 30 72 92 114 134 146 150 162 182 204 224 266 290 296	-1215666881640
TPT(14)	1117664616198555419	0 2 120 122 192 194 198 200 360 362 408 410 528 530	-1086709168218
SPT(16)	1117664693726234903	0 14 44 86 96 116 144 146 168 170 198 218 228 270 300 314	-1009181488734
TPT(14)	1117665394418842427	0 2 42 44 90 92 114 116 240 242 264 266 294 296	-308488881210
SPT(16)	1117665419241128123	0 44 56 86 120 168 170 224 330 384 386 434 468 498 510 554	-283666595514
STPT(10)	1117665420617140859	0 2 48 50 60 62 72 74 120 122	-282290582778
STPT(10)	1117665795599573159	0 2 42 44 60 62 78 80 120 122	92691849522
STPT(10)	1117665824553540761	0 2 36 38 78 80 120 122 156 158	121645817124
STPT(10)	1117665847007072507	0 2 60 62 72 74 84 86 144 146	144099348870
SPT(16)	1117666069912416127	0 6 76 90 94 96 154 204 292 342 400 402 406 420 490 496	367004692490
SPT(16)	1117666127427666979	0 4 52 64 70 84 112 114 220 222 250 264 270 282 330 334	424519943342