Prime p₀= 2712255829959863399 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2712254970804266963	0 14 20 38 104 206 248 290 294 336 378 480 546 564 570 584	-859155596436
STPT(10)	2712255031761971789	0 2 18 20 30 32 42 44 60 62	-798197891610
STPT(12)	2712255472967798669	0 2 30 32 72 74 198 200 240 242 270 272	-356992064730
SPT(16)	2712255533514784897	0 22 52 66 82 132 162 190 222 250 280 330 346 360 390 412	-296445078502
SPT(16)	2712255572002117891	0 18 36 46 60 100 112 126 142 156 168 208 222 232 250 268	-257957745508
STPT(10)	2712255718887159629	0 2 30 32 60 62 90 92 120 122	-111072703770
STPT(10)	2712255941581584491	0 2 36 38 78 80 120 122 156 158	111621721092
SPT(18)	2712256171334371997	0 84 104 140 194 200 234 284 290 294 300 350 384 390 444 480 500 584	341374508598
SPT(16)	2712256243755895801	0 6 28 30 52 72 108 112 156 160 196 216 238 240 262 268	413796032402
SPT(16)	2712256826464992637	0 6 36 64 112 154 162 202 204 244 252 294 342 370 400 406	996505129238
STPT(10)	2712256989750766457	0 2 24 26 42 44 60 62 84 86	1159790903058