Prime p₀= 2565279208399379177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 58 2 136 2 58 2 106 2 (?)
a_n: 0 2 12 14 54 56 114 116 252 254 312 314 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 10 40 58 136 58 106

STPT(12)	2565277493040172037	0 2 12 14 30 32 54 56 72 74 84 86	-1715359207140
SPT(16)	2565278190986372143	0 6 46 60 64 76 94 148 156 210 228 240 244 258 298 304	-1017413007034
SPT(16)	2565278335412292713	0 20 24 44 68 78 114 120 308 314 350 360 384 404 408 428	-872987086464
STPT(10)	2565278916129643067	0 2 54 56 72 74 90 92 144 146	-292269736110
SPT(16)	2565278921939818003	0 24 34 40 54 66 84 90 154 160 178 190 204 210 220 244	-286459561174
STPT(10)	2565279003218875421	0 2 30 32 78 80 126 128 156 158	-205180503756
TPT(14)	2565279245775144077	0 2 54 56 180 182 252 254 264 266 324 326 450 452	37375764900
SPT(16)	2565279302157421127	0 32 66 134 174 176 284 302 444 462 570 572 612 680 714 746	93758041950
STPT(10)	2565279533110356611	0 2 6 8 48 50 90 92 96 98	324710977434
SPT(16)	2565279675525538919	0 8 48 132 168 194 212 254 348 390 408 434 470 554 594 602	467126159742
SPT(16)	2565280024617741727	0 10 22 106 150 154 162 216 220 274 282 286 330 414 426 436	816218362550