Prime p₀= 2523691942397648129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 70 2 64 2 28 2 160 2 40 2 (?)
a_n: 0 2 90 92 162 164 228 230 258 260 420 422 462 464
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: 464
Found by: [SG-FC] hl
db: batch=82, k=14, 88 70 64 28 160 40

STPT(10)	2523690394315959287	0 2 42 44 72 74 102 104 144 146	-1548081688842
TPT(16)	2523690900787400261	0 2 30 32 78 80 150 152 210 212 240 242 288 290 348 350	-1041610247868
STPT(10)	2523690942484986047	0 2 54 56 72 74 90 92 144 146	-999912662082
SPT(16)	2523691404071218769	0 24 98 110 114 150 170 222 290 342 362 398 402 414 488 512	-538326429360
STPT(10)	2523691634137974257	0 2 60 62 72 74 84 86 144 146	-308259673872
SPT(16)	2523691872701490167	0 6 14 20 54 62 162 216 230 284 384 392 426 432 440 446	-69696157962
SPT(16)	2523692298848544449	0 2 44 72 84 114 162 230 234 302 350 380 392 420 462 464	356450896320
STPT(10)	2523692318594044847	0 2 60 62 72 74 84 86 144 146	376196396718
STPT(10)	2523692929016566007	0 2 120 122 180 182 240 242 360 362	986618917878
SPT(16)	2523693002878656967	0 24 66 70 72 106 120 172 204 256 270 304 306 310 352 376	1060481008838
STPT(10)	2523693240101359517	0 2 90 92 102 104 114 116 204 206	1297703711388