Prime p₀= 1172874778738836959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 268 2 40 2 28 2 46 2 16 2 (?)
a_n: 0 2 30 32 300 302 342 344 372 374 420 422 438 440
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: 440
Found by: stoneageman
db: batch=77, k=14, 28 268 40 28 46 16

SPT(16)	1172872471044061523	0 14 26 36 38 54 60 80 114 134 140 156 158 168 180 194	-2307694775436
SPT(16)	1172873007198758149	0 12 22 48 78 82 84 88 114 118 120 124 154 180 190 202	-1771540078810
STPT(10)	1172873389274294567	0 2 30 32 72 74 114 116 144 146	-1389464542392
STPT(10)	1172873487095766887	0 2 30 32 72 74 114 116 144 146	-1291643070072
STPT(10)	1172874299949182417	0 2 30 32 72 74 114 116 144 146	-478789654542
SPT(16)	1172874689128805567	0 14 36 50 120 132 150 186 230 266 284 296 366 380 402 416	-89610031392
STPT(10)	1172874780998499461	0 2 36 38 78 80 120 122 156 158	2259662502
SPT(16)	1172874811069021009	0 54 60 108 148 190 192 208 234 250 252 294 334 382 388 442	32330184050
STPT(10)	1172874935727609869	0 2 18 20 30 32 42 44 60 62	156988772910
TPT(14)	1172875432908707597	0 2 12 14 42 44 54 56 144 146 192 194 240 242	654169870638
SPT(16)	1172875542149502493	0 30 40 54 60 64 96 100 150 154 186 190 196 210 220 250	763410665534