Prime p₀= 2319745538934649751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 28 2 88 2 82 2 46 2 (?)
a_n: 0 2 48 50 126 128 156 158 246 248 330 332 378 380
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: 380
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 46 76 28 88 82 46

SPT(16)	2319744947194295347	0 4 114 132 156 166 210 216 220 226 270 280 304 322 432 436	-591740354404
STPT(10)	2319744973413822569	0 2 18 20 30 32 42 44 60 62	-565520827182
SPT(16)	2319745027638563617	0 42 96 120 144 180 226 274 312 360 406 442 466 490 544 586	-511296086134
SPT(16)	2319745200362979839	0 38 48 50 92 104 114 164 168 218 228 240 282 284 294 332	-338571669912
SPT(16)	2319745204668233989	0 40 48 54 64 118 132 204 208 280 294 348 358 364 372 412	-334266415762
SPT(16)	2319745376599832351	0 8 20 66 86 128 156 218 240 302 330 372 392 438 450 458	-162334817400
TPT(14)	2319745895350307297	0 2 12 14 24 26 84 86 150 152 252 254 282 284	356415657546
SPT(16)	2319746005875259543	0 46 70 88 148 150 156 168 208 220 226 228 288 306 330 376	466940609792
STPT(10)	2319746115485730551	0 2 6 8 48 50 90 92 96 98	576551080800
STPT(10)	2319746347000786367	0 2 42 44 72 74 102 104 144 146	808066136616
SPT(16)	2319746496416676031	0 18 48 60 70 102 130 148 150 168 196 228 238 250 280 298	957482026280