Prime p₀= 2501631471038086349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 58 2 4 2 82 2 4 2 (?)
a_n: 0 2 48 50 72 74 132 134 138 140 222 224 228 230
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: 230
Found by: [SG-FC] hl
db: batch=82, k=14, 46 22 58 4 82 4

SPT(16)	2501630092493874623	0 50 54 86 120 138 156 164 240 248 266 284 318 350 354 404	-1378544211726
SPT(16)	2501630636862522017	0 2 14 24 26 56 72 116 180 224 240 270 272 282 294 296	-834175564332
STPT(10)	2501630728147900211	0 2 30 32 78 80 126 128 156 158	-742890186138
STPT(10)	2501630940573078359	0 2 12 14 90 92 168 170 180 182	-530465007990
SPT(16)	2501630971378926011	0 6 50 56 66 92 102 122 186 206 216 242 252 258 302 308	-499659160338
SPT(16)	2501631136090231603	0 6 78 90 96 108 118 126 160 168 178 190 196 208 280 286	-334947854746
SPT(16)	2501631722248365379	0 12 54 58 72 114 124 144 148 168 178 220 234 238 280 292	251210279030
TPT(16)	2501632263319690469	0 2 12 14 42 44 78 80 138 140 150 152 180 182 288 290	792281604120
STPT(10)	2501632365241799357	0 2 12 14 42 44 72 74 84 86	894203713008
SPT(16)	2501632371723198841	0 30 46 58 78 102 130 186 232 288 316 340 360 372 388 418	900685112492
STPT(10)	2501632412079602687	0 2 12 14 42 44 72 74 84 86	941041516338