Prime p₀= 2164204964496167711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 88 2 28 2 52 2 64 2 (?)
a_n: 0 2 60 62 66 68 156 158 186 188 240 242 306 308
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: 308
Found by: JayPi
db: batch=81, k=14, 58 4 88 28 52 64

SPT(16)	2164203725836007881	0 6 12 18 42 148 168 180 358 370 390 496 520 526 532 538	-1238660159830
SPT(16)	2164203972718922947	0 60 82 114 120 124 126 154 222 250 252 256 262 294 316 376	-991777244764
STPT(10)	2164204081183264817	0 2 54 56 72 74 90 92 144 146	-883312902894
STPT(10)	2164204158365725841	0 2 30 32 78 80 126 128 156 158	-806130441870
STPT(10)	2164204478273512847	0 2 12 14 72 74 132 134 144 146	-486222654864
STPT(10)	2164204490529206891	0 2 126 128 138 140 150 152 276 278	-473966960820
SPT(16)	2164204973113776137	0 12 24 62 72 86 96 114 182 200 210 224 234 272 284 296	8617608426
SPT(16)	2164205278702881289	0 10 12 24 30 54 84 94 168 178 208 232 238 250 252 262	314206713578
STPT(10)	2164205586966069077	0 2 54 56 72 74 90 92 144 146	622469901366
STPT(10)	2164205732957977559	0 2 12 14 90 92 168 170 180 182	768461809848
STPT(10)	2164205989848620621	0 2 36 38 78 80 120 122 156 158	1025352452910