Prime p₀= 2672738075343645611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 52 2 118 2 28 2 46 2 (?)
a_n: 0 2 126 128 156 158 210 212 330 332 360 362 408 410
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: 410
Found by: RFGuy_KCCO
db: batch=82, k=14, 124 28 52 118 28 46

SPT(16)	2672736007684992727	0 24 100 106 114 156 192 214 252 274 310 352 360 366 442 466	-2067658652884
STPT(10)	2672736434820566207	0 2 30 32 60 62 90 92 120 122	-1640523079404
SPT(16)	2672736828141100211	0 2 18 30 60 78 110 116 222 228 260 278 308 320 336 338	-1247202545400
STPT(10)	2672737387201655021	0 2 78 80 108 110 138 140 216 218	-688141990590
STPT(10)	2672737469061413399	0 2 48 50 60 62 72 74 120 122	-606282232212
SPT(16)	2672737823835179921	0 2 146 156 162 182 252 272 276 296 366 386 392 402 546 548	-251508465690
SPT(13)	2672738301778797977	0 6 30 72 96 126 156 186 216 240 282 306 312	226435152366
SPT(16)	2672738591465340773	0 14 68 84 90 114 138 140 168 170 194 218 224 240 294 308	516121695162
SPT(16)	2672738836491871339	0 12 24 58 78 178 184 190 252 258 264 364 384 418 430 442	761148225728
STPT(10)	2672739338871948947	0 2 42 44 72 74 102 104 144 146	1263528303336
SPT(16)	2672739358585730339	0 72 98 110 138 204 240 248 294 302 338 404 432 444 470 542	1283242084728