Prime p₀= 2830434658086150779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 28 2 4 2 28 2 40 2 (?)
a_n: 0 2 30 32 72 74 102 104 108 110 138 140 180 182
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-FC] hl
db: batch=82, k=14, 28 40 28 4 28 40

SPT(16)	2830432299147642509	0 90 108 138 144 150 168 224 234 290 308 314 320 350 368 458	-2358938508270
STPT(10)	2830432360539784211	0 2 30 32 78 80 126 128 156 158	-2297546366568
SPT(16)	2830432759018905533	0 6 8 20 30 104 108 128 216 236 240 314 324 336 338 344	-1899067245246
SPT(16)	2830433623919252749	0 24 52 54 72 94 100 102 220 222 228 250 268 270 298 322	-1034166898030
STPT(10)	2830434287149277927	0 2 24 26 42 44 60 62 84 86	-370936872852
STPT(10)	2830434568282610279	0 2 12 14 90 92 168 170 180 182	-89803540500
STPT(12)	2830434658086150809	0 2 42 44 72 74 78 80 108 110 150 152	30
STPT(10)	2830434828092737631	0 2 78 80 108 110 138 140 216 218	170006586852
SPT(16)	2830434829609377911	0 98 170 188 230 242 296 308 330 342 396 408 450 468 540 638	171523227132
STPT(10)	2830434842102795897	0 2 30 32 72 74 114 116 144 146	184016645118
STPT(10)	2830435315457212259	0 2 18 20 30 32 42 44 60 62	657371061480