Prime p₀= 944058866670113561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 10 2 10 2 4 2 22 2 (?)
a_n: 0 2 6 8 66 68 78 80 90 92 96 98 120 122
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: 122
Found by: stoneageman
db: batch=76, k=14, 4 58 10 10 4 22

STPT(10)	944057811976599347	0 2 24 26 42 44 60 62 84 86	-1054693514214
SPT(16)	944058020263859227	0 6 42 70 102 112 126 136 150 160 174 184 216 244 280 286	-846406254334
SPT(16)	944058432028777393	0 4 6 94 108 118 160 196 198 234 276 286 300 388 390 394	-434641336168
SPT(16)	944058571735934731	0 18 30 42 46 118 126 130 138 142 150 222 226 238 250 268	-294934178830
STPT(10)	944058625266200501	0 2 36 38 78 80 120 122 156 158	-241403913060
STPT(10)	944058665987934179	0 2 48 50 90 92 132 134 180 182	-200682179382
SPT(16)	944059128487775221	0 22 36 48 136 168 202 220 228 246 280 312 400 412 426 448	261817661660
STPT(10)	944059416118932887	0 2 54 56 72 74 90 92 144 146	549448819326
STPT(10)	944059535215676651	0 2 36 38 78 80 120 122 156 158	668545563090
STPT(10)	944060229345617651	0 2 36 38 78 80 120 122 156 158	1362675504090
SPT(16)	944060349730752773	0 50 120 134 158 186 210 290 474 554 578 606 630 644 714 764	1483060639212