Prime p₀= 2126291079009447767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 16 2 76 2 40 2 70 2 (?)
a_n: 0 2 60 62 84 86 102 104 180 182 222 224 294 296
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: 296
Found by: CoolAtchOk
db: batch=80, k=14, 58 22 16 76 40 70

STPT(10)	2126288720629408001	0 2 6 8 18 20 30 32 36 38	-2358380039766
SPT(16)	2126288793977150969	0 60 80 102 104 110 144 194 258 308 342 348 350 372 392 452	-2285032296798
STPT(10)	2126289383478309809	0 2 12 14 90 92 168 170 180 182	-1695531137958
SPT(16)	2126289814720905241	0 18 46 70 72 90 102 160 168 226 238 256 258 282 310 328	-1264288542526
SPT(16)	2126290085103509011	0 10 30 36 66 78 82 100 108 126 130 142 172 178 198 208	-993905938756
SPT(16)	2126290648450192489	0 4 52 102 108 150 172 184 228 240 262 304 310 360 408 412	-430559255278
STPT(10)	2126291133565171721	0 2 36 38 78 80 120 122 156 158	54555723954
TPT(14)	2126291263740365171	0 2 30 32 126 128 168 170 240 242 246 248 270 272	184730917404
SPT(16)	2126291337700890649	0 48 64 72 94 100 132 148 204 220 252 258 280 288 304 352	258691442882
STPT(10)	2126291501181953429	0 2 18 20 60 62 102 104 120 122	422172505662
STPT(10)	2126291973802656269	0 2 78 80 120 122 162 164 240 242	894793208502