Prime p₀= 868082073611345639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 46 2 82 2 4 2 22 2 (?)
a_n: 0 2 60 62 90 92 138 140 222 224 228 230 252 254
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: 254
Found by: RFGuy_KCCO
db: batch=73, k=14, 58 28 46 82 4 22

SPT(16)	868081718525198417	0 14 36 44 92 104 146 182 204 240 282 294 342 350 372 386	-355086147222
SPT(16)	868081787516602531	0 6 10 12 88 112 120 132 166 178 186 210 286 288 292 298	-286094743108
STPT(12)	868081842687016049	0 2 42 44 78 80 162 164 198 200 240 242	-230924329590
SPT(16)	868081931023602209	0 18 84 104 140 192 194 222 230 258 260 312 348 368 434 452	-142587743430
SPT(16)	868081954933328621	0 12 48 56 68 96 98 110 168 180 182 210 222 230 266 278	-118678017018
SPT(16)	868082051770633961	0 6 18 20 30 56 72 78 170 176 192 218 228 230 242 248	-21840711678
STPT(10)	868082130778532669	0 2 18 20 30 32 42 44 60 62	57167187030
SPT(16)	868082418051940153	0 138 186 220 228 258 270 310 336 376 388 418 426 460 508 646	344440594514
STPT(10)	868083021554668991	0 2 36 38 78 80 120 122 156 158	947943323352
SPT(16)	868083128310364607	0 2 36 42 54 114 174 176 180 182 242 302 314 320 354 356	1054699018968
SPT(16)	868083220277318041	0 12 28 52 118 138 148 162 196 210 220 240 306 330 346 358	1146665972402