Prime p₀= 2313002878476752879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: MarkRBright
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2313001324208137063	0 36 40 46 64 90 106 114 130 138 154 180 198 204 208 244	-1554268615816
SPT(16)	2313001765955139113	0 8 24 38 50 60 86 96 98 108 134 144 156 170 186 194	-1112521613766
SPT(16)	2313001855222004269	0 52 58 64 70 100 102 138 154 190 192 222 228 234 240 292	-1023254748610
SPT(16)	2313001950008536247	0 2 32 44 86 96 132 264 272 404 440 450 492 504 534 536	-928468216632
STPT(10)	2313002081929056767	0 2 30 32 42 44 54 56 84 86	-796547696112
STPT(10)	2313002136650835197	0 2 12 14 42 44 72 74 84 86	-741825917682
STPT(10)	2313003108484144421	0 2 36 38 78 80 120 122 156 158	230007391542
STPT(10)	2313003410240031137	0 2 30 32 72 74 114 116 144 146	531763278258
TPT(14)	2313003463168559219	0 2 60 62 78 80 90 92 102 104 168 170 210 212	584691806340
STPT(10)	2313003465910094927	0 2 54 56 72 74 90 92 144 146	587433342048
SPT(16)	2313003487213917919	0 18 22 28 40 82 108 222 238 352 378 420 432 438 442 460	608737165040