Prime p₀= 853124507241361151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 10 2 76 2 22 2 64 2 172 2 (?)
a_n: 0 2 96 98 108 110 186 188 210 212 276 278 450 452
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: 452
Found by: RFGuy_KCCO
db: batch=73, k=14, 94 10 76 22 64 172

STPT(10)	853122405157549601	0 2 6 8 48 50 90 92 96 98	-2102083811550
SPT(16)	853122456878067757	0 6 40 66 132 154 222 262 264 304 372 394 460 486 520 526	-2050363293394
STPT(10)	853122747374336027	0 2 30 32 42 44 54 56 84 86	-1759867025124
SPT(16)	853122848704097617	0 66 90 106 112 142 216 262 294 340 414 444 450 466 490 556	-1658537263534
SPT(16)	853123086533438561	0 36 42 86 96 102 126 140 222 236 260 266 276 320 326 362	-1420707922590
STPT(10)	853124433497455307	0 2 24 26 42 44 60 62 84 86	-73743905844
STPT(10)	853124523785990549	0 2 42 44 120 122 198 200 240 242	16544629398
SPT(16)	853124600642486167	0 72 84 102 160 184 190 262 294 366 372 396 454 472 484 556	93401125016
STPT(10)	853124658439750139	0 2 18 20 60 62 102 104 120 122	151198388988
STPT(10)	853124732914353857	0 2 12 14 42 44 72 74 84 86	225672992706
TPT(14)	853124778877044941	0 2 66 68 78 80 126 128 156 158 168 170 180 182	271635683790