Prime p₀= 2167869425715520529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 10 2 76 2 58 2 40 2 (?)
a_n: 0 2 72 74 78 80 90 92 168 170 228 230 270 272
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: 272
Found by: [SG-FC] hl
db: batch=81, k=14, 70 4 10 76 58 40

SPT(16)	2167867654253026283	0 6 24 26 38 98 104 158 216 270 276 336 348 350 368 374	-1771462494246
STPT(10)	2167867702308561431	0 2 6 8 48 50 90 92 96 98	-1723406959098
SPT(16)	2167868196350417447	0 24 102 120 194 204 206 260 276 330 332 342 416 434 512 536	-1229365103082
SPT(16)	2167868723934124097	0 14 60 66 80 134 150 182 204 236 252 306 320 326 372 386	-701781396432
STPT(10)	2167869332166664739	0 2 18 20 30 32 42 44 60 62	-93548855790
SPT(16)	2167869360181840331	0 66 80 92 108 120 132 150 158 176 188 200 216 228 242 308	-65533680198
SPT(16)	2167869853872022901	0 80 102 110 138 200 222 242 258 278 300 362 390 398 420 500	428156502372
TPT(14)	2167869858691329977	0 2 30 32 60 62 72 74 114 116 132 134 240 242	432975809448
SPT(16)	2167870085815338643	0 4 18 76 96 156 186 190 264 268 298 358 378 436 450 454	660099818114
SPT(16)	2167870560269686807	0 22 52 82 84 90 100 132 142 174 184 190 192 222 252 274	1134554166278
SPT(16)	2167871006096975761	0 52 72 96 112 148 178 196 222 240 270 306 322 346 366 418	1580381455232