Prime p₀= 2309290006591057727 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 136 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 180 182 210 212 222 224
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: 224
Found by: Landjunge
db: batch=81, k=12, 2 10 2 28 2 136

STPT(10)	2309288627720513447	0 2 84 86 222 224 360 362 444 446	-1378870544280
STPT(10)	2309288654247427997	0 2 42 44 72 74 102 104 144 146	-1352343629730
STPT(10)	2309288712325101041	0 2 66 68 108 110 150 152 216 218	-1294265956686
STPT(10)	2309289020983874717	0 2 12 14 72 74 132 134 144 146	-985607183010
STPT(10)	2309289169614789881	0 2 36 38 78 80 120 122 156 158	-836976267846
STPT(10)	2309289208667552567	0 2 30 32 42 44 54 56 84 86	-797923505160
STPT(10)	2309290507574567519	0 2 30 32 60 62 90 92 120 122	500983509792
SPT(16)	2309290627033430239	0 24 28 124 132 168 174 294 358 478 484 520 528 624 628 652	620442372512
STPT(10)	2309291453063065481	0 2 6 8 48 50 90 92 96 98	1446472007754
STPT(10)	2309291517175078979	0 2 12 14 90 92 168 170 180 182	1510584021252
STPT(10)	2309291654504991881	0 2 6 8 48 50 90 92 96 98	1647913934154