Prime p₀= 3948126594575692937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 40 2 64 2 88 2 22 2 (?)
a_n: 0 2 72 74 102 104 144 146 210 212 300 302 324 326
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: 326
Found by: SEARCHER
db: batch=84, k=14, 70 28 40 64 88 22

SPT(16)	3948125434930718381	0 18 32 42 110 132 138 168 230 260 266 288 356 366 380 398	-1159644974556
SPT(16)	3948125613105042433	0 10 30 58 108 130 154 166 168 180 204 226 276 304 324 334	-981470650504
SPT(16)	3948125619339645323	0 6 26 56 90 104 126 150 170 194 216 230 264 294 314 320	-975236047614
STPT(10)	3948125824888737389	0 2 42 44 60 62 78 80 120 122	-769686955548
TPT(14)	3948125849840517131	0 2 96 98 120 122 138 140 276 278 306 308 336 338	-744735175806
SPT(16)	3948126587720384189	0 2 38 42 108 110 120 138 194 212 222 224 290 294 330 332	-6855308748
SPT(16)	3948126730456187603	0 8 24 36 56 80 104 126 128 150 174 198 218 230 246 254	135880494666
SPT(16)	3948126749601983807	0 42 50 92 132 180 266 302 354 390 476 524 564 606 614 656	155026290870
SPT(16)	3948126858581902991	0 18 26 38 56 108 140 176 210 246 278 330 348 360 368 386	264006210054
SPT(16)	3948126999145586821	0 18 42 88 90 102 160 256 312 408 466 478 480 526 550 568	404569893884
STPT(10)	3948127148111321711	0 2 6 8 48 50 90 92 96 98	553535628774