Prime p₀= 2507874988276107311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 100 2 10 2 106 2 28 2 10 2 (?)
a_n: 0 2 66 68 168 170 180 182 288 290 318 320 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 64 100 10 106 28 10

STPT(12)	2507874446593062791	0 2 30 32 60 62 96 98 126 128 156 158	-541683044520
STPT(10)	2507874496901934737	0 2 12 14 132 134 252 254 264 266	-491374172574
SPT(16)	2507874538238951963	0 6 20 30 110 138 144 210 284 350 356 384 464 474 488 494	-450037155348
STPT(10)	2507874551862811667	0 2 30 32 42 44 54 56 84 86	-436413295644
SPT(16)	2507874761197800217	0 34 54 60 84 100 112 126 130 144 156 172 196 202 222 256	-227078307094
STPT(10)	2507874941575257827	0 2 60 62 72 74 84 86 144 146	-46700849484
SPT(16)	2507875280821142807	0 26 50 80 92 102 116 150 152 186 200 210 222 252 276 302	292545035496
SPT(16)	2507875327565217839	0 38 48 54 84 104 108 120 152 164 168 188 218 224 234 272	339289110528
STPT(10)	2507875406435775107	0 2 30 32 42 44 54 56 84 86	418159667796
SPT(16)	2507875564809173231	0 38 98 122 156 180 186 200 318 332 338 362 396 420 480 518	576533065920
STPT(10)	2507875581499126337	0 2 90 92 102 104 114 116 204 206	593223019026