Prime p₀= 1295353685102995811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 118 2 88 2 76 2 40 2 16 2 (?)
a_n: 0 2 18 20 138 140 228 230 306 308 348 350 366 368
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: 368
Found by: Cruncher Pete
db: batch=77, k=14, 16 118 88 76 40 16

SPT(16)	1295352378441566503	0 18 24 60 64 78 90 94 144 148 160 174 178 214 220 238	-1306661429308
SPT(16)	1295352494546281433	0 8 26 44 56 84 138 170 264 296 350 378 390 408 426 434	-1190556714378
SPT(16)	1295352565091156189	0 8 24 60 78 104 132 150 182 200 228 254 272 308 324 332	-1120011839622
TPT(14)	1295352829176720287	0 2 24 26 84 86 114 116 120 122 162 164 204 206	-855926275524
TPT(14)	1295353359175551101	0 2 60 62 108 110 150 152 156 158 186 188 240 242	-325927444710
SPT(16)	1295353601976822827	0 14 50 60 66 80 102 116 150 164 186 200 206 216 252 266	-83126172984
SPT(16)	1295354014482307261	0 40 88 100 126 180 186 208 240 262 268 322 348 360 408 448	329379311450
SPT(16)	1295354126059325441	0 18 20 90 152 200 240 282 296 338 378 426 488 558 560 578	440956329630
STPT(10)	1295354166346552757	0 2 30 32 42 44 54 56 84 86	481243556946
TPT(14)	1295354256042849449	0 2 18 20 42 44 72 74 102 104 168 170 192 194	570939853638
STPT(10)	1295354372277800201	0 2 6 8 48 50 90 92 96 98	687174804390