Prime p₀= 2712256989750766457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2712255718887159629	0 2 30 32 60 62 90 92 120 122	-1270863606828
STPT(10)	2712255829959863399	0 2 42 44 60 62 78 80 120 122	-1159790903058
STPT(10)	2712255941581584491	0 2 36 38 78 80 120 122 156 158	-1048169181966
SPT(18)	2712256171334371997	0 84 104 140 194 200 234 284 290 294 300 350 384 390 444 480 500 584	-818416394460
SPT(16)	2712256243755895801	0 6 28 30 52 72 108 112 156 160 196 216 238 240 262 268	-745994870656
SPT(16)	2712256826464992637	0 6 36 64 112 154 162 202 204 244 252 294 342 370 400 406	-163285773820
SPT(16)	2712257174142618821	0 8 32 50 68 78 98 102 176 180 200 210 228 246 270 278	184391852364
STPT(10)	2712257288287772957	0 2 30 32 42 44 54 56 84 86	298537006500
STPT(10)	2712257546980534739	0 2 18 20 30 32 42 44 60 62	557229768282
STPT(10)	2712257761407445871	0 2 6 8 48 50 90 92 96 98	771656679414
STPT(10)	2712257869102984799	0 2 42 44 120 122 198 200 240 242	879352218342