Prime p₀= 1087662356538407057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 22 2 58 2 28 2 64 2 (?)
a_n: 0 2 72 74 90 92 114 116 174 176 204 206 270 272
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: Theadalus
db: batch=76, k=14, 70 16 22 58 28 64

SPT(16)	1087661066653337567	0 24 32 74 80 230 252 332 342 422 444 594 600 642 650 674	-1289885069490
TPT(14)	1087661313347921231	0 2 126 128 150 152 210 212 216 218 258 260 318 320	-1043190485826
STPT(10)	1087661368321339307	0 2 12 14 42 44 72 74 84 86	-988217067750
STPT(10)	1087661574950178827	0 2 30 32 42 44 54 56 84 86	-781588228230
SPT(16)	1087661683407078497	0 26 60 134 194 210 212 236 330 354 356 372 432 506 540 566	-673131328560
SPT(16)	1087661791781032367	0 32 42 54 72 74 96 102 224 230 252 254 272 284 294 326	-564757374690
SPT(16)	1087662727962957241	0 18 58 76 102 106 142 160 168 186 222 226 252 270 310 328	371424550184
STPT(10)	1087663127512065101	0 2 6 8 48 50 90 92 96 98	770973658044
SPT(16)	1087663173739637177	0 20 44 74 102 132 176 182 204 210 254 284 312 342 366 386	817201230120
SPT(13)	1087663210991704741	0 6 66 78 120 150 168 186 216 258 270 330 336	854453297684
STPT(10)	1087663339685719787	0 2 90 92 132 134 174 176 264 266	983147312730