Prime p₀= 1100082740359256657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 16 2 70 2 10 2 16 2 (?)
a_n: 0 2 120 122 132 134 150 152 222 224 234 236 252 254
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: 254
Found by: Theadalus
db: batch=76, k=14, 118 10 16 70 10 16

SPT(16)	1100082299238814751	0 12 26 38 60 72 98 116 192 210 236 248 270 282 296 308	-441120441906
SPT(16)	1100082363927930847	0 16 46 70 90 94 112 136 210 234 252 256 276 300 330 346	-376431325810
SPT(18)	1100082392394923453	0 8 24 38 48 50 54 80 104 294 318 344 348 350 360 374 390 398	-347964333204
SPT(18)	1100082432169938223	0 6 70 130 136 144 154 196 210 220 234 276 286 294 300 360 424 430	-308189318434
STPT(10)	1100082506313290957	0 2 30 32 72 74 114 116 144 146	-234045965700
SPT(16)	1100082720100780193	0 30 68 78 98 108 140 144 260 264 296 306 326 336 374 404	-20258476464
TPT(14)	1100083218454530587	0 2 12 14 30 32 90 92 222 224 264 266 270 272	478095273930
SPT(16)	1100083249177403287	0 4 30 42 46 132 142 186 250 294 304 390 394 406 432 436	508818146630
SPT(16)	1100083382247962377	0 16 84 100 114 136 160 174 196 210 234 256 270 286 354 370	641888705720
STPT(10)	1100083455995305697	0 2 24 26 42 44 60 62 84 86	715636049040
STPT(10)	1100083679480520101	0 2 6 8 48 50 90 92 96 98	939121263444