Prime p₀= 1058543237919992567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 154 2 28 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 210 212 240 242 252 254 294 296
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: Theadalus
db: batch=76, k=14, 40 10 154 28 10 40

SPT(16)	1058542071860749741	0 42 46 48 58 130 150 156 172 178 198 270 280 282 286 328	-1166059242826
SPT(16)	1058542100609915629	0 22 24 30 100 108 114 138 154 178 184 192 262 268 270 292	-1137310076938
TPT(14)	1058542235881496867	0 2 42 44 54 56 90 92 114 116 294 296 354 356	-1002038495700
TPT(14)	1058542485528470807	0 2 42 44 54 56 294 296 324 326 432 434 450 452	-752391521760
STPT(10)	1058542925738332127	0 2 30 32 60 62 90 92 120 122	-312181660440
SPT(16)	1058543032389548261	0 56 62 66 90 96 98 110 168 180 182 188 212 216 222 278	-205530444306
TPT(14)	1058543299324967999	0 2 12 14 90 92 228 230 342 344 420 422 438 440	61404975432
SPT(16)	1058543397215280451	0 12 18 40 76 88 102 126 142 166 180 192 228 250 256 268	159295287884
TPT(14)	1058543609156575121	0 2 138 140 156 158 228 230 306 308 420 422 528 530	371236582554
STPT(10)	1058543673265185431	0 2 36 38 78 80 120 122 156 158	435345192864
STPT(10)	1058543710374247421	0 2 36 38 78 80 120 122 156 158	472454254854