Prime p₀= 946412681423493917 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 70 2 4 2 70 2 10 2 (?)
a_n: 0 2 12 14 84 86 90 92 162 164 174 176
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: 176
Found by: [SG]FX
db: batch=76, k=12, 2 10 2 70 2 4

SPT(18)	946411378667060263	0 6 18 94 156 210 216 276 286 378 388 448 454 508 570 646 658 664	-1302756433654
SPT(16)	946411430876330117	0 14 24 26 80 102 132 140 156 164 194 216 270 272 282 296	-1250547163800
STPT(10)	946411431390093239	0 2 18 20 30 32 42 44 60 62	-1250033400678
SPT(16)	946411571304024571	0 36 76 102 120 130 148 160 168 180 198 208 226 252 292 328	-1110119469346
SPT(16)	946412407069484489	0 8 30 38 68 72 140 168 194 222 290 294 324 332 354 362	-274354009428
SPT(16)	946412454163426507	0 4 24 36 54 66 96 102 154 160 190 202 220 232 252 256	-227260067410
SPT(13)	946412713244589581	0 12 18 42 48 78 90 102 132 138 162 168 180	31821095664
STPT(10)	946412934507179021	0 2 36 38 78 80 120 122 156 158	253083685104
STPT(10)	946412966721208487	0 2 54 56 72 74 90 92 144 146	285297714570
STPT(10)	946413109862456837	0 2 12 14 42 44 72 74 84 86	428438962920
TPT(14)	946413116508891989	0 2 18 20 72 74 102 104 180 182 192 194 222 224	435085398072