Prime p₀= 1000852481822874209 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: stoneageman
db: batch=76, k=12, 2 10 2 4 2 22

TPT(14)	1000851885382465637	0 2 42 44 132 134 180 182 204 206 222 224 234 236	-596440408572
STPT(10)	1000852012168456991	0 2 6 8 48 50 90 92 96 98	-469654417218
SPT(16)	1000852182873591079	0 42 48 52 54 84 120 154 258 292 328 358 360 364 370 412	-298949283130
SPT(16)	1000852216641739681	0 6 16 36 42 60 66 70 108 112 118 136 142 162 172 178	-265181134528
STPT(10)	1000852371235004381	0 2 30 32 60 62 90 92 120 122	-110587869828
TPT(14)	1000852469127675209	0 2 12 14 42 44 78 80 90 92 132 134 138 140	-12695199000
SPT(20)	1000852683594545297	0 50 74 80 96 102 182 200 234 236 360 362 396 414 494 500 516 522 546 596	201771671088
STPT(10)	1000852798208688767	0 2 24 26 42 44 60 62 84 86	316385814558
STPT(10)	1000852810548295811	0 2 66 68 138 140 210 212 276 278	328725421602
STPT(10)	1000852865249811269	0 2 12 14 150 152 288 290 300 302	383426937060
SPT(16)	1000852913453021789	0 30 32 54 62 84 98 102 110 114 128 150 158 180 182 212	431630147580