Prime p₀= 2623555076338795637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 64 2 10 2 40 2 16 2 (?)
a_n: 0 2 24 26 54 56 120 122 132 134 174 176 192 194
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: 194
Found by: arkiss
db: batch=82, k=14, 22 28 64 10 40 16

SPT(16)	2623551632421264983	0 8 44 54 60 84 104 116 198 210 230 254 260 270 306 314	-3443917530654
SPT(16)	2623552522989775987	0 22 42 84 100 112 114 166 180 232 234 246 262 304 324 346	-2553349019650
SPT(16)	2623552761741643247	0 36 132 140 182 204 222 252 284 314 332 354 396 404 500 536	-2314597152390
SPT(16)	2623553631116881471	0 22 100 112 150 186 198 208 210 220 232 268 306 318 396 418	-1445221914166
SPT(16)	2623553802509259173	0 8 50 60 110 120 140 164 240 264 284 294 344 354 396 404	-1273829536464
STPT(10)	2623553852777671787	0 2 30 32 42 44 54 56 84 86	-1223561123850
SPT(16)	2623555133769569147	0 36 42 80 140 156 222 282 374 434 500 516 576 614 620 656	57430773510
SPT(16)	2623555170716790971	0 30 42 62 86 138 182 216 302 336 380 432 456 476 488 518	94377995334
TPT(14)	2623556189397245939	0 2 102 104 168 170 180 182 210 212 312 314 378 380	1113058450302
SPT(18)	2623556356932441731	0 38 48 80 180 182 192 258 360 380 482 548 558 560 660 692 702 740	1280593646094
STPT(10)	2623556794126147931	0 2 6 8 18 20 30 32 36 38	1717787352294