Prime p₀= 2791563143288153621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 34 2 28 2 112 2 124 2 (?)
a_n: 0 2 60 62 90 92 126 128 156 158 270 272 396 398
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: 398
Found by: conf [MM]
db: batch=82, k=14, 58 28 34 28 112 124

SPT(16)	2791562040765811169	0 8 30 54 80 120 134 194 234 294 308 348 374 398 420 428	-1102522342452
STPT(10)	2791562203993964519	0 2 18 20 30 32 42 44 60 62	-939294189102
STPT(10)	2791562593033811039	0 2 42 44 60 62 78 80 120 122	-550254342582
SPT(16)	2791562675843809867	0 4 46 90 156 160 172 180 286 294 306 310 376 420 462 466	-467444343754
SPT(16)	2791562874604561003	0 4 18 24 46 130 136 148 156 168 174 258 280 286 300 304	-268683592618
SPT(16)	2791562918698103443	0 6 18 24 28 34 48 78 136 166 180 186 190 196 208 214	-224590050178
SPT(16)	2791563237324395579	0 12 38 44 62 68 80 90 212 222 234 240 258 264 290 302	94036241958
STPT(10)	2791563556612290797	0 2 30 32 42 44 54 56 84 86	413324137176
SPT(16)	2791563862375278581	0 8 12 66 90 92 96 108 110 122 126 128 152 206 210 218	719087124960
SPT(16)	2791563954927284837	0 14 24 60 114 152 170 182 252 264 282 320 374 410 420 434	811639131216
SPT(16)	2791564190719084379	0 20 48 62 78 98 198 200 282 284 384 404 420 434 462 482	1047430930758