Prime p₀= 2719561180506667949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 40 2 106 2 46 2 52 2 (?)
a_n: 0 2 12 14 60 62 102 104 210 212 258 260 312 314
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: 314
Found by: [SG-FC] hl
db: batch=82, k=14, 10 46 40 106 46 52

STPT(10)	2719559332238739971	0 2 30 32 78 80 126 128 156 158	-1848267927978
SPT(16)	2719559405949966829	0 22 28 60 118 148 162 190 222 250 264 294 352 384 390 412	-1774556701120
SPT(16)	2719559597291453471	0 8 20 42 48 120 132 170 288 326 338 410 416 438 450 458	-1583215214478
SPT(16)	2719559649824011817	0 30 32 114 116 120 132 146 210 224 236 240 242 324 326 356	-1530682656132
STPT(10)	2719560147460759487	0 2 42 44 132 134 222 224 264 266	-1033045908462
SPT(16)	2719561155160978501	0 28 102 118 130 142 162 168 190 196 216 228 240 256 330 358	-25345689448
TPT(14)	2719561346222101331	0 2 96 98 156 158 198 200 228 230 408 410 486 488	165715433382
STPT(10)	2719561694648453927	0 2 24 26 42 44 60 62 84 86	514141785978
STPT(10)	2719562156498874647	0 2 42 44 102 104 162 164 204 206	975992206698
SPT(18)	2719562217048039631	0 10 46 108 142 198 228 240 246 262 268 280 310 366 400 462 498 508	1036541371682
SPT(16)	2719562467372116283	0 4 24 30 36 46 58 84 130 156 168 178 184 190 210 214	1286865448334