Prime p₀= 2313055006785311597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 40 2 4 2 40 2 16 2 (?)
a_n: 0 2 42 44 132 134 174 176 180 182 222 224 240 242
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: 242
Found by: Landjunge
db: batch=81, k=14, 40 88 40 4 40 16

STPT(10)	2313054023431702247	0 2 54 56 72 74 90 92 144 146	-983353609350
SPT(16)	2313054124709558389	0 52 78 84 90 168 228 234 298 304 364 442 448 454 480 532	-882075753208
STPT(10)	2313054163158209267	0 2 30 32 42 44 54 56 84 86	-843627102330
SPT(16)	2313054509216083793	0 6 14 30 44 56 68 84 200 216 228 240 254 270 278 284	-497569227804
STPT(10)	2313054588287466521	0 2 36 38 78 80 120 122 156 158	-418497845076
SPT(16)	2313054689504817883	0 58 88 106 108 120 126 144 370 388 394 406 408 426 456 514	-317280493714
STPT(10)	2313055106028970739	0 2 18 20 60 62 102 104 120 122	99243659142
STPT(10)	2313055338012703367	0 2 30 32 72 74 114 116 144 146	331227391770
SPT(16)	2313056372434293503	0 8 66 68 80 90 120 156 188 224 254 264 276 278 336 344	1365648981906
STPT(10)	2313056449097964371	0 2 6 8 48 50 90 92 96 98	1442312652774
SPT(16)	2313056527148735077	0 40 72 84 106 120 150 154 162 166 196 210 232 244 276 316	1520363423480