Prime p₀= 2081910923803337117 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
All 12 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: Landjunge
db: batch=80, k=12, 2 10 2 16 2 22

SPT(16)	2081910152704280653	0 6 46 60 94 124 130 214 216 300 306 336 370 384 424 430	-771099056464
SPT(16)	2081910263103849473	0 14 36 38 78 98 138 170 204 236 276 296 336 338 360 374	-660699487644
SPT(16)	2081910348257889041	0 12 32 60 98 116 120 156 242 278 282 300 338 366 386 398	-575545448076
SPT(16)	2081910466101317441	0 2 20 72 108 128 132 162 176 206 210 230 266 318 336 338	-457702019676
SPT(16)	2081910732860383543	0 10 46 54 94 136 150 178 186 214 228 270 310 318 354 364	-190942953574
STPT(12)	2081910824381079401	0 2 66 68 78 80 138 140 150 152 216 218	-99422257716
STPT(10)	2081911179927104087	0 2 42 44 72 74 102 104 144 146	256123766970
STPT(10)	2081911430558021507	0 2 30 32 42 44 54 56 84 86	506754684390
SPT(13)	2081911764910122287	0 30 84 120 132 150 162 174 192 204 240 294 324	841106785170
SPT(16)	2081911893272291183	0 6 78 80 96 108 134 146 168 180 206 218 234 236 308 314	969468954066
SPT(16)	2081911973220122809	0 58 90 120 124 160 168 210 238 280 288 324 328 358 390 448	1049416785692