Prime p₀= 1265347524259136009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 226 2 10 2 70 2 76 2 178 2 16 2 (?)
a_n: 0 2 228 230 240 242 312 314 390 392 570 572 588 590
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: 590
Found by: stoneageman
db: batch=77, k=14, 226 10 70 76 178 16

SPT(16)	1265346618276323477	0 44 56 90 102 114 122 126 230 234 242 254 266 300 312 356	-905982812532
SPT(16)	1265346725766069377	0 14 26 32 54 74 90 96 140 146 162 182 204 210 222 236	-798493066632
TPT(14)	1265346896307055787	0 2 120 122 162 164 234 236 390 392 420 422 504 506	-627952080222
SPT(16)	1265347093188912127	0 10 34 114 132 196 202 216 220 234 240 304 322 402 426 436	-431070223882
STPT(10)	1265347207045812719	0 2 48 50 90 92 132 134 180 182	-317213323290
SPT(16)	1265347436669919151	0 30 58 108 132 168 196 198 220 222 250 286 310 360 388 418	-87589216858
TPT(14)	1265347651720357811	0 2 6 8 48 50 60 62 126 128 168 170 216 218	127461221802
SPT(16)	1265347954859047583	0 56 60 66 68 80 90 108 146 164 174 186 188 194 198 254	430599911574
SPT(13)	1265348037559127393	0 6 60 156 180 186 198 210 216 240 336 390 396	513299991384
SPT(16)	1265348159707733923	0 40 54 78 126 156 160 204 280 324 328 358 406 430 444 484	635448597914
SPT(16)	1265348188440641329	0 12 24 30 52 78 84 112 120 148 154 180 202 208 220 232	664181505320