Prime p₀= 1373967540764548139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: emoga
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1373966504431763843	0 20 24 56 66 68 104 116 138 150 186 188 198 230 234 254	-1036332784296
SPT(16)	1373966742080869177	0 22 24 52 70 126 142 192 244 294 310 366 384 412 414 436	-798683678962
STPT(10)	1373966975688080771	0 2 6 8 48 50 90 92 96 98	-565076467368
STPT(10)	1373967067944516347	0 2 30 32 42 44 54 56 84 86	-472820031792
STPT(14)	1373967391596806309	0 2 42 44 78 80 120 122 162 164 198 200 240 242	-149167741830
TPT(14)	1373967391596806309	0 2 42 44 78 80 120 122 162 164 198 200 240 242	-149167741830
SPT(16)	1373967771840214519	0 28 42 64 90 112 138 154 168 184 210 232 258 280 294 322	231075666380
STPT(10)	1373967849517862507	0 2 30 32 42 44 54 56 84 86	308753314368
STPT(10)	1373967870224219117	0 2 12 14 42 44 72 74 84 86	329459670978
TPT(14)	1373967870544605857	0 2 54 56 132 134 162 164 204 206 222 224 330 332	329780057718
TPT(14)	1373968139050238111	0 2 18 20 30 32 48 50 78 80 90 92 198 200	598285689972