Prime p₀= 2312331307113076157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 148 2 4 2 40 2 10 2 (?)
a_n: 0 2 54 56 84 86 234 236 240 242 282 284 294 296
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: 296
Found by: Orange Kid
db: batch=81, k=14, 52 28 148 4 40 10

STPT(10)	2312329089616886411	0 2 36 38 78 80 120 122 156 158	-2217496189746
STPT(10)	2312329357229064377	0 2 12 14 42 44 72 74 84 86	-1949884011780
SPT(16)	2312329815726976967	0 20 26 42 120 132 152 162 194 204 224 236 314 330 336 356	-1491386099190
TPT(14)	2312330343244207631	0 2 36 38 78 80 120 122 168 170 210 212 228 230	-963868868526
SPT(16)	2312330759665028339	0 12 14 30 48 74 80 84 128 132 138 164 182 198 200 212	-547448047818
SPT(16)	2312331032993185613	0 8 14 26 36 90 96 104 120 128 134 188 198 210 216 224	-274119890544
SPT(16)	2312332189570385891	0 30 32 56 60 62 132 198 200 266 336 338 342 366 368 398	882457309734
SPT(16)	2312332281857602261	0 22 28 48 76 118 160 192 256 288 330 372 400 420 426 448	974744526104
SPT(16)	2312332615148961043	0 34 48 58 64 126 130 144 160 174 178 240 246 256 270 304	1308035884886
SPT(16)	2312332994322260699	0 14 20 98 102 110 152 164 258 270 312 320 324 402 408 422	1687209184542
SPT(16)	2312333811704712007	0 130 132 142 154 160 192 196 300 304 336 342 354 364 366 496	2504591635850