Prime p₀= 957423115522267151 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	957422088698508337	0 4 22 34 72 84 126 154 192 220 262 274 312 324 342 346	-1026823758814
SPT(16)	957422415059033971	0 12 22 42 90 106 112 126 172 186 192 208 256 276 286 298	-700463233180
SPT(16)	957422622445101133	0 6 10 34 70 76 90 138 166 214 228 234 270 294 298 304	-493077166018
SPT(16)	957422801197787329	0 4 10 12 18 28 48 70 72 94 114 124 130 132 138 142	-314324479822
SPT(16)	957422884386466769	0 32 42 60 62 74 78 84 98 104 108 120 122 140 150 182	-231135800382
STPT(10)	957423106494293141	0 2 66 68 108 110 150 152 216 218	-9027974010
STPT(10)	957423426680940389	0 2 18 20 60 62 102 104 120 122	311158673238
SPT(16)	957423469449103117	0 10 24 60 70 94 96 126 184 214 216 240 250 286 300 310	353926835966
STPT(10)	957423806487112631	0 2 6 8 18 20 30 32 36 38	690964845480
SPT(18)	957424482561498437	0 2 6 62 104 114 134 140 180 206 246 252 272 282 324 380 384 386	1367039231286
SPT(16)	957424661229789887	0 14 24 30 50 56 60 80 120 140 144 150 170 176 186 200	1545707522736