Prime p₀= 1548423900402498641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 70 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 96 98 168 170 186 188 198 200 228 230
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: 230
Found by: crashtech
db: batch=78, k=14, 28 64 70 16 10 28

STPT(10)	1548422015619078791	0 2 36 38 78 80 120 122 156 158	-1884783419850
STPT(10)	1548422891900271659	0 2 18 20 30 32 42 44 60 62	-1008502226982
SPT(16)	1548422940535307513	0 8 48 50 96 120 146 150 176 180 206 230 276 278 318 326	-959867191128
SPT(16)	1548423121605169883	0 54 66 68 110 134 140 170 204 234 240 264 306 308 320 374	-778797328758
SPT(20)	1548423500351813479	0 10 60 70 120 142 172 174 192 220 294 322 340 342 372 394 444 454 504 514	-400050685162
SPT(16)	1548423883783296631	0 12 16 88 96 180 210 228 250 268 298 382 390 462 466 478	-16619202010
SPT(16)	1548424175460782131	0 96 130 142 162 168 172 186 232 246 250 256 276 288 322 418	275058283490
SPT(16)	1548424488544286879	0 8 60 102 120 140 180 242 330 392 432 452 470 512 564 572	588141788238
SPT(16)	1548424698184046707	0 10 52 70 76 82 90 96 136 142 150 156 162 180 222 232	797781548066
SPT(18)	1548424754096303371	0 18 36 46 60 66 78 138 148 210 220 280 292 298 312 322 340 358	853693804730
SPT(16)	1548424952923332277	0 34 40 52 96 160 222 286 300 364 426 490 534 546 552 586	1052520833636