Prime p₀= 2314762829989881917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 88 2 28 2 76 2 10 2 (?)
a_n: 0 2 72 74 84 86 174 176 204 206 282 284 294 296
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: 296
Found by: WTBroughton
db: batch=81, k=14, 70 10 88 28 76 10

STPT(10)	2314761544319166359	0 2 18 20 30 32 42 44 60 62	-1285670715558
SPT(16)	2314761612308329627	0 6 10 22 60 76 112 126 136 150 186 202 240 252 256 262	-1217681552290
TPT(14)	2314761631582815089	0 2 42 44 48 50 78 80 108 110 132 134 138 140	-1198407066828
SPT(16)	2314762377896919359	0 2 8 12 44 54 122 134 168 180 248 258 290 294 300 302	-452092962558
SPT(16)	2314762488960644167	0 16 34 42 54 70 102 124 132 154 186 202 214 222 240 256	-341029237750
STPT(10)	2314762783587982841	0 2 36 38 78 80 120 122 156 158	-46401899076
SPT(16)	2314762876114695031	0 16 36 60 90 106 112 168 190 246 252 268 298 322 342 358	46124813114
SPT(16)	2314762938360945791	0 12 20 38 96 188 210 252 356 398 420 512 570 588 596 608	108371063874
SPT(16)	2314763716539523507	0 10 46 52 84 102 124 186 220 282 304 322 354 360 396 406	886549641590
SPT(16)	2314764191848711751	0 2 12 96 98 108 180 186 332 338 410 420 422 506 516 518	1361858829834
SPT(16)	2314764933926267629	0 22 48 60 88 132 148 160 162 174 190 234 262 274 300 322	2103936385712