Prime p₀= 2704156197693384347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 268 2 28 2 40 2 10 2 76 2 88 2 (?)
a_n: 0 2 270 272 300 302 342 344 354 356 432 434 522 524
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: 524
Found by: JayPi
db: batch=82, k=14, 268 28 40 10 76 88

SPT(16)	2704154315970147533	0 26 30 80 84 96 120 164 210 254 278 290 294 344 348 374	-1881723236814
SPT(16)	2704154612017290241	0 42 46 66 102 132 166 210 262 306 340 370 406 426 430 472	-1585676094106
TPT(14)	2704155141567414107	0 2 24 26 42 44 150 152 222 224 240 242 282 284	-1056125970240
SPT(16)	2704155569398517753	0 8 18 30 38 60 74 78 116 120 134 156 164 176 186 194	-628294866594
SPT(16)	2704155721269030461	0 2 6 20 42 56 60 72 170 182 186 200 222 236 240 242	-476424353886
STPT(12)	2704155955932694631	0 2 30 32 90 92 96 98 156 158 186 188	-241760689716
STPT(10)	2704156448477702891	0 2 30 32 78 80 126 128 156 158	250784318544
SPT(16)	2704156564181680961	0 2 6 42 48 66 78 80 138 140 152 170 176 212 216 218	366488296614
SPT(16)	2704156696102708529	0 8 48 50 78 90 138 170 228 260 308 320 348 350 390 398	498409324182
STPT(10)	2704156709554580237	0 2 24 26 42 44 60 62 84 86	511861195890
STPT(10)	2704156839240738377	0 2 12 14 42 44 72 74 84 86	641547354030