Prime p₀= 2131068192758722169 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: Odd-Rod
db: batch=80, k=12, 2 10 2 28 2 34

STPT(10)	2131066906007323979	0 2 30 32 60 62 90 92 120 122	-1286751398190
STPT(10)	2131067027074771571	0 2 30 32 60 62 90 92 120 122	-1165683950598
STPT(10)	2131067608321828619	0 2 42 44 60 62 78 80 120 122	-584436893550
SPT(16)	2131067647875448823	0 6 38 56 66 144 146 156 158 168 170 248 258 276 308 314	-544883273346
SPT(16)	2131067839115276909	0 80 102 108 128 150 168 182 210 224 242 264 284 290 312 392	-353643445260
TPT(14)	2131067959959479069	0 2 12 14 18 20 42 44 102 104 168 170 240 242	-232799243100
SPT(16)	2131068411798201289	0 18 40 108 138 150 178 190 270 282 310 322 352 420 442 460	219039479120
SPT(16)	2131068463011543997	0 36 54 84 106 120 132 184 222 274 286 300 322 352 370 406	270252821828
TPT(14)	2131068563106404351	0 2 66 68 126 128 216 218 258 260 276 278 300 302	370347682182
SPT(16)	2131068651575272733	0 8 18 24 36 38 80 104 330 354 396 398 410 416 426 434	458816550564
SPT(16)	2131068691932005921	0 18 32 50 56 78 86 90 98 102 110 132 138 156 170 188	499173283752