Prime p₀= 1137755727043016069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 94 2 28 2 28 2 22 2 (?)
a_n: 0 2 72 74 132 134 228 230 258 260 288 290 312 314
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, 70 58 94 28 28 22

SPT(16)	1137753679390001503	0 46 58 90 148 190 198 216 238 256 264 306 364 396 408 454	-2047653014566
SPT(16)	1137754129326065063	0 30 74 80 96 126 176 186 218 228 278 308 324 330 374 404	-1597716951006
SPT(16)	1137754199220633073	0 24 46 66 70 100 126 144 160 178 204 234 238 258 280 304	-1527822382996
SPT(16)	1137754630476146027	0 36 42 56 60 134 186 192 284 290 342 416 420 434 440 476	-1096566870042
STPT(10)	1137755461111343489	0 2 18 20 30 32 42 44 60 62	-265931672580
STPT(10)	1137755545175255957	0 2 30 32 42 44 54 56 84 86	-181867760112
SPT(16)	1137756026499432553	0 54 78 196 198 204 208 220 264 276 280 286 288 406 430 484	299456416484
SPT(16)	1137756028949646881	0 12 38 78 90 126 176 188 210 222 272 308 320 360 386 398	301906630812
STPT(10)	1137756241643227901	0 2 30 32 60 62 90 92 120 122	514600211832
TPT(14)	1137756515130173021	0 2 18 20 66 68 186 188 276 278 336 338 360 362	788087156952
STPT(10)	1137756706786218047	0 2 12 14 42 44 72 74 84 86	979743201978