Prime p₀= 944709089374438637 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: Theadalus
db: batch=76, k=12, 2 10 2 16 2 22

TPT(14)	944708187180299147	0 2 60 62 102 104 114 116 210 212 264 266 300 302	-902194139490
STPT(10)	944708271603891461	0 2 6 8 18 20 30 32 36 38	-817770547176
STPT(10)	944708403653915699	0 2 78 80 120 122 162 164 240 242	-685720522938
STPT(10)	944708536681173107	0 2 30 32 42 44 54 56 84 86	-552693265530
STPT(10)	944708539134634847	0 2 60 62 72 74 84 86 144 146	-550239803790
SPT(16)	944708986576896817	0 82 84 96 124 150 174 250 276 352 376 402 430 442 444 526	-102797541820
SPT(16)	944709157398797639	0 8 32 50 72 78 84 102 140 158 164 170 192 210 234 242	68024359002
SPT(16)	944709186199156549	0 12 22 40 42 52 100 124 138 162 210 220 222 240 250 262	96824717912
TPT(14)	944709643789059989	0 2 78 80 150 152 162 164 168 170 192 194 198 200	554414621352
STPT(10)	944709664725303821	0 2 36 38 78 80 120 122 156 158	575350865184
STPT(10)	944709819175310987	0 2 30 32 42 44 54 56 84 86	729800872350