Prime p₀= 2322680423793062519 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: arkiss
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2322679329984584587	0 4 46 52 64 66 126 130 216 220 280 282 294 300 342 346	-1093808477932
SPT(16)	2322679508238470279	0 8 12 42 48 78 110 132 140 162 194 224 230 260 264 272	-915554592240
SPT(16)	2322679935941537339	0 14 24 38 60 98 102 104 228 230 234 272 294 308 318 332	-487851525180
STPT(12)	2322680095608933887	0 2 12 14 72 74 162 164 222 224 234 236	-328184128632
SPT(16)	2322680116184235469	0 12 54 70 78 90 112 154 348 390 412 424 432 448 490 502	-307608827050
STPT(10)	2322680403658485779	0 2 18 20 30 32 42 44 60 62	-20134576740
STPT(10)	2322680633114835281	0 2 36 38 78 80 120 122 156 158	209321772762
SPT(18)	2322680671246153597	0 66 70 82 144 196 220 234 256 330 352 366 390 442 504 516 520 586	247453091078
STPT(10)	2322681278452930037	0 2 24 26 42 44 60 62 84 86	854659867518
STPT(10)	2322681295663431887	0 2 30 32 60 62 90 92 120 122	871870369368
SPT(16)	2322681460012893247	0 4 16 30 60 120 154 156 160 162 196 256 286 300 312 316	1036219830728