Prime p₀= 1931575351313079971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 88 2 76 2 40 2 118 2 (?)
a_n: 0 2 36 38 78 80 168 170 246 248 288 290 408 410
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: 410
Found by: Landjunge
db: batch=80, k=14, 34 40 88 76 40 118

SPT(18)	1931574041547217817	0 66 80 122 126 144 182 224 242 294 312 354 392 410 414 456 470 536	-1309765862154
SPT(16)	1931574383937395251	0 40 42 160 178 202 222 238 312 328 348 372 390 508 510 550	-967375684720
TPT(14)	1931574663633371849	0 2 30 32 42 44 138 140 162 164 180 182 252 254	-687679708122
SPT(16)	1931574686013921847	0 10 42 64 100 112 120 150 166 196 204 216 252 274 306 316	-665299158124
TPT(14)	1931574692220604349	0 2 18 20 42 44 48 50 72 74 78 80 120 122	-659092475622
SPT(16)	1931575064330393051	0 8 92 98 120 126 146 150 188 192 212 218 240 246 330 338	-286982686920
SPT(16)	1931575597723167481	0 12 28 30 42 52 70 78 130 138 156 166 178 180 196 208	246410087510
SPT(16)	1931575648755161417	0 30 32 54 72 92 114 140 156 182 204 224 242 264 266 296	297442081446
STPT(10)	1931575901727601781	0 2 36 38 78 80 120 122 156 158	550414521810
STPT(10)	1931576457417745421	0 2 6 8 48 50 90 92 96 98	1106104665450
SPT(16)	1931576724060250243	0 36 54 100 114 124 166 174 196 204 246 256 270 316 334 370	1372747170272