Prime p₀= 1087151694799403327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 64 2 28 2 40 2 16 2 (?)
a_n: 0 2 12 14 24 26 90 92 120 122 162 164 180 182
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: 182
Found by: [SG]ATA-Rolf
db: batch=76, k=14, 10 10 64 28 40 16

SPT(16)	1087150158659955079	0 72 112 114 138 160 172 174 208 210 222 244 268 270 310 382	-1536139448248
STPT(10)	1087150233572148017	0 2 24 26 42 44 60 62 84 86	-1461227255310
STPT(10)	1087150596029870921	0 2 6 8 48 50 90 92 96 98	-1098769532406
STPT(10)	1087150772109893501	0 2 6 8 48 50 90 92 96 98	-922689509826
STPT(10)	1087150816254301847	0 2 42 44 72 74 102 104 144 146	-878545101480
SPT(16)	1087151199052703651	0 38 42 122 168 180 242 252 308 318 380 392 438 518 522 560	-495746699676
SPT(16)	1087152406529351521	0 16 36 72 102 126 168 172 216 220 262 286 316 352 372 388	711729948194
SPT(16)	1087152552913969063	0 48 58 114 118 208 210 228 280 298 300 390 394 450 460 508	858114565736
TPT(14)	1087152897066510101	0 2 48 50 60 62 90 92 156 158 168 170 198 200	1202267106774
SPT(16)	1087152986245740031	0 30 90 172 186 238 252 288 310 346 360 412 426 508 568 598	1291446336704
SPT(16)	1087153029330809629	0 4 12 28 52 70 88 118 144 174 192 210 234 250 258 262	1334531406302