Prime p₀= 944058625266200501 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: stoneageman
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	944057714013392047	0 12 34 102 132 234 252 264 292 304 322 424 454 522 544 556	-911252808454
SPT(16)	944057715873479047	0 12 16 64 100 136 150 162 184 196 210 246 282 330 334 346	-909392721454
STPT(10)	944057811976599347	0 2 24 26 42 44 60 62 84 86	-813289601154
SPT(16)	944058020263859227	0 6 42 70 102 112 126 136 150 160 174 184 216 244 280 286	-605002341274
SPT(16)	944058432028777393	0 4 6 94 108 118 160 196 198 234 276 286 300 388 390 394	-193237423108
SPT(16)	944058571735934731	0 18 30 42 46 118 126 130 138 142 150 222 226 238 250 268	-53530265770
STPT(10)	944058665987934179	0 2 48 50 90 92 132 134 180 182	40721733678
TPT(14)	944058866670113561	0 2 6 8 66 68 78 80 90 92 96 98 120 122	241403913060
SPT(16)	944059128487775221	0 22 36 48 136 168 202 220 228 246 280 312 400 412 426 448	503221574720
STPT(10)	944059416118932887	0 2 54 56 72 74 90 92 144 146	790852732386
STPT(10)	944059535215676651	0 2 36 38 78 80 120 122 156 158	909949476150