Prime p₀= 2350112518290168167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Vato
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2350111215951551527	0 76 114 124 132 150 180 192 244 256 286 304 312 322 360 436	-1302338616640
SPT(18)	2350111362039534089	0 2 14 72 128 168 194 198 240 302 344 348 374 414 470 528 540 542	-1156250634078
SPT(16)	2350111737316330441	0 6 28 42 58 70 88 112 156 180 198 210 226 240 262 268	-780973837726
STPT(10)	2350112103749884181	0 2 138 140 168 170 198 200 336 338	-414540283986
STPT(10)	2350112342962476611	0 2 30 32 78 80 126 128 156 158	-175327691556
SPT(16)	2350112371242616679	0 12 20 44 54 62 80 132 230 282 300 308 318 342 350 362	-147047551488
SPT(16)	2350112539819283683	0 16 54 70 108 136 138 156 178 196 198 226 264 280 318 334	21529115516
STPT(10)	2350113061267049717	0 2 60 62 72 74 84 86 144 146	542976881550
SPT(16)	2350113120720775313	0 24 30 38 50 54 74 96 98 120 140 144 156 164 170 194	602430607146
STPT(10)	2350114266262263047	0 2 30 32 42 44 54 56 84 86	1747972094880
SPT(16)	2350114277114946827	0 14 50 60 80 114 140 150 266 276 302 336 356 366 402 416	1758824778660