Prime p₀= 2565279245775144077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 124 2 70 2 10 2 58 2 124 2 (?)
a_n: 0 2 54 56 180 182 252 254 264 266 324 326 450 452
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: 452
Found by: JayPi
db: batch=82, k=14, 52 124 70 10 58 124

SPT(16)	2565278190986372143	0 6 46 60 64 76 94 148 156 210 228 240 244 258 298 304	-1054788771934
SPT(16)	2565278335412292713	0 20 24 44 68 78 114 120 308 314 350 360 384 404 408 428	-910362851364
STPT(10)	2565278916129643067	0 2 54 56 72 74 90 92 144 146	-329645501010
SPT(16)	2565278921939818003	0 24 34 40 54 66 84 90 154 160 178 190 204 210 220 244	-323835326074
STPT(10)	2565279003218875421	0 2 30 32 78 80 126 128 156 158	-242556268656
TPT(14)	2565279208399379177	0 2 12 14 54 56 114 116 252 254 312 314 420 422	-37375764900
SPT(16)	2565279302157421127	0 32 66 134 174 176 284 302 444 462 570 572 612 680 714 746	56382277050
STPT(10)	2565279533110356611	0 2 6 8 48 50 90 92 96 98	287335212534
SPT(16)	2565279675525538919	0 8 48 132 168 194 212 254 348 390 408 434 470 554 594 602	429750394842
SPT(16)	2565280024617741727	0 10 22 106 150 154 162 216 220 274 282 286 330 414 426 436	778842597650
STPT(10)	2565280062827267879	0 2 18 20 30 32 42 44 60 62	817052123802