Prime p₀= 2697255073119721199 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 64 2 58 2 148 2 10 2 28 2 (?)
a_n: 0 2 72 74 138 140 198 200 348 350 360 362 390 392
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: 392
Found by: Dirk Broer
db: batch=82, k=14, 70 64 58 148 10 28

SPT(16)	2697253017124183351	0 22 52 78 88 130 136 148 150 162 168 210 220 246 276 298	-2055995537848
SPT(16)	2697253332052624099	0 18 40 52 58 72 84 144 178 238 250 264 270 282 304 322	-1741067097100
SPT(16)	2697253478378680673	0 18 36 48 90 96 158 200 204 246 308 314 356 368 386 404	-1594741040526
STPT(10)	2697253957969772471	0 2 6 8 48 50 90 92 96 98	-1115149948728
SPT(16)	2697253987582329661	0 28 70 72 82 90 106 118 120 132 148 156 166 168 210 238	-1085537391538
STPT(10)	2697254527820265701	0 2 36 38 78 80 120 122 156 158	-545299455498
STPT(10)	2697255077347526819	0 2 12 14 30 32 48 50 60 62	4227805620
SPT(16)	2697255686915956553	0 24 36 38 44 126 150 210 254 314 338 420 426 428 440 464	613796235354
STPT(10)	2697256214809096649	0 2 18 20 60 62 102 104 120 122	1141689375450
SPT(16)	2697256263176734663	0 18 28 34 84 108 138 186 238 286 316 340 390 396 406 424	1190057013464
SPT(16)	2697256303542021479	0 14 18 24 38 42 44 104 108 168 170 174 188 194 198 212	1230422300280