Prime p₀= 2491568108471548061 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 88 2 28 2 28 2 226 2 10 2 (?)
a_n: 0 2 48 50 138 140 168 170 198 200 426 428 438 440
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: 440
Found by: JayPi
db: batch=82, k=14, 46 88 28 28 226 10

SPT(16)	2491566922613085661	0 36 40 42 112 136 168 178 210 220 252 276 346 348 352 388	-1185858462400
SPT(16)	2491567281797580923	0 6 24 26 30 56 66 104 150 188 198 224 228 230 248 254	-826673967138
STPT(10)	2491567509997052189	0 2 138 140 150 152 162 164 300 302	-598474495872
TPT(14)	2491567641302353127	0 2 42 44 174 176 192 194 204 206 294 296 360 362	-467169194934
SPT(16)	2491567672663885369	0 4 22 28 42 60 102 114 178 190 232 250 264 270 288 292	-435807662692
SPT(16)	2491567770310894939	0 28 102 118 124 144 240 270 322 352 448 468 474 490 564 592	-338160653122
SPT(16)	2491568260323848159	0 90 110 122 194 200 210 258 374 422 432 438 510 522 542 632	151852300098
STPT(10)	2491568706533346821	0 2 78 80 108 110 138 140 216 218	598061798760
SPT(16)	2491568886531751223	0 8 38 74 108 110 114 120 158 164 168 170 204 240 270 278	778060203162
SPT(16)	2491569156101517901	0 16 48 70 78 90 96 106 210 220 226 238 246 268 300 316	1047629969840
SPT(16)	2491569171075180671	0 26 30 60 62 68 90 138 200 248 270 276 278 308 312 338	1062603632610