Prime p₀= 2325858179225597249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: MarkRBright
db: batch=81, k=10, 2 46 2 10 2

SPT(16)	2325856541004259787	0 14 32 44 60 72 84 110 144 170 182 194 210 222 240 254	-1638221337462
TPT(14)	2325856867173082079	0 2 12 14 102 104 180 182 198 200 222 224 258 260	-1312052515170
STPT(10)	2325857467336104641	0 2 30 32 60 62 90 92 120 122	-711889492608
SPT(16)	2325857637322016771	0 78 96 138 198 212 218 228 260 270 276 290 350 392 410 488	-541903580478
STPT(10)	2325857773753147727	0 2 30 32 60 62 90 92 120 122	-405472449522
STPT(10)	2325858010589334017	0 2 30 32 42 44 54 56 84 86	-168636263232
SPT(16)	2325858491282356297	0 12 42 60 102 142 150 154 252 256 264 304 346 364 394 406	312056759048
STPT(10)	2325858847962229631	0 2 6 8 18 20 30 32 36 38	668736632382
STPT(10)	2325859005984611099	0 2 30 32 60 62 90 92 120 122	826759013850
SPT(16)	2325859174167431051	0 6 8 62 78 120 132 182 246 296 308 350 366 420 422 428	994941833802
SPT(16)	2325859313667923221	0 28 30 60 90 96 238 240 268 270 412 418 448 478 480 508	1134442325972