Prime p₀= 2537576269618237817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 16 2 76 2 88 2 22 2 (?)
a_n: 0 2 30 32 114 116 132 134 210 212 300 302 324 326
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: 326
Found by: JayPi
db: batch=82, k=14, 28 82 16 76 88 22

SPT(16)	2537574900158313919	0 94 124 144 148 180 184 208 210 234 238 270 274 294 324 418	-1369459923898
SPT(16)	2537574955828408831	0 12 70 90 96 102 130 142 156 168 196 202 208 228 286 298	-1313789828986
SPT(13)	2537575410522957341	0 42 66 120 162 180 186 192 210 252 306 330 372	-859095280476
SPT(16)	2537575539602540323	0 18 40 46 60 84 94 106 108 120 130 154 168 174 196 214	-730015697494
STPT(10)	2537575719724809077	0 2 30 32 42 44 54 56 84 86	-549893428740
SPT(16)	2537575731612068689	0 12 40 48 114 120 142 300 352 510 532 538 604 612 640 652	-538006169128
SPT(16)	2537576297160804043	0 4 70 84 96 100 106 114 130 138 144 148 160 174 240 244	27542566226
SPT(16)	2537576372785922983	0 16 28 60 124 138 180 190 204 214 256 270 334 366 378 394	103167685166
STPT(10)	2537576451396370169	0 2 30 32 60 62 90 92 120 122	181778132352
SPT(16)	2537576734106583833	0 30 66 86 98 108 126 138 158 170 188 198 210 230 266 296	464488346016
STPT(10)	2537576755773089837	0 2 30 32 102 104 174 176 204 206	486154852020