Prime p₀= 2111810073643050497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 88 2 10 2 28 2 10 2 (?)
a_n: 0 2 90 92 120 122 210 212 222 224 252 254 264 266
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: 266
Found by: MechWarrior
db: batch=80, k=14, 88 28 88 10 28 10

STPT(10)	2111809281050089739	0 2 18 20 30 32 42 44 60 62	-792592960758
SPT(16)	2111809318863287473	0 24 36 40 108 124 148 150 154 156 180 196 264 268 280 304	-754779763024
SPT(16)	2111809574182684877	0 90 152 156 194 210 222 242 294 314 326 342 380 384 446 536	-499460365620
STPT(10)	2111809646693889641	0 2 36 38 78 80 120 122 156 158	-426949160856
STPT(10)	2111809948796313971	0 2 6 8 18 20 30 32 36 38	-124846736526
SPT(16)	2111809993941863521	0 18 60 76 88 106 138 202 216 280 312 330 342 358 400 418	-79701186976
SPT(16)	2111810348884892501	0 18 60 132 140 156 170 182 216 228 242 258 266 338 380 398	275241842004
TPT(14)	2111810753456228567	0 2 54 56 114 116 120 122 150 152 222 224 240 242	679813178070
TPT(14)	2111810794525643879	0 2 90 92 132 134 180 182 222 224 252 254 390 392	720882593382
STPT(10)	2111811335232908999	0 2 18 20 30 32 42 44 60 62	1261589858502
SPT(16)	2111811661270367509	0 4 12 90 124 144 150 178 204 232 238 258 292 370 378 382	1587627317012