Prime p₀= 2377785490677465989 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 136 2 40 2 58 2 4 2 88 2 (?)
a_n: 0 2 42 44 180 182 222 224 282 284 288 290 378 380
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: 380
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=14, 40 136 40 58 4 88

SPT(18)	2377784392467746663	0 14 18 60 66 126 176 206 216 218 228 258 308 368 374 416 420 434	-1098209719326
SPT(16)	2377784398722353261	0 42 90 98 102 116 132 158 210 236 252 266 270 278 326 368	-1091955112728
SPT(16)	2377784493399493109	0 74 198 210 252 270 282 312 320 350 362 380 422 434 558 632	-997277972880
STPT(10)	2377784702831774021	0 2 30 32 60 62 90 92 120 122	-787845691968
SPT(16)	2377784706296342647	0 6 10 12 16 24 40 66 100 126 142 150 154 156 160 166	-784381123342
SPT(16)	2377785432768243523	0 28 114 238 268 270 340 364 384 408 478 480 510 634 720 748	-57909222466
SPT(16)	2377785559455909307	0 22 42 46 60 82 94 96 160 162 174 196 210 214 234 256	68778443318
STPT(10)	2377786377127044641	0 2 6 8 18 20 30 32 36 38	886449578652
TPT(14)	2377786616011213997	0 2 72 74 102 104 174 176 204 206 324 326 342 344	1125333748008
SPT(16)	2377786717171056491	0 60 72 98 108 132 188 200 240 252 308 332 342 368 380 440	1226493590502
STPT(12)	2377786757221204529	0 2 30 32 90 92 168 170 228 230 258 260	1266543738540