Prime p₀= 729067952493951197 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: MarkRBright
db: batch=73, k=12, 2 10 2 16 2 22

STPT(10)	729066936048649769	0 2 18 20 30 32 42 44 60 62	-1016445301428
STPT(10)	729067032114509651	0 2 96 98 138 140 180 182 276 278	-920379441546
STPT(10)	729067118340924029	0 2 18 20 30 32 42 44 60 62	-834153027168
STPT(10)	729067197175993139	0 2 48 50 60 62 72 74 120 122	-755317958058
SPT(16)	729067257529453669	0 24 40 58 112 114 144 150 172 178 208 210 264 282 298 322	-694964497528
STPT(10)	729067618349693219	0 2 42 44 60 62 78 80 120 122	-334144257978
TPT(14)	729068044415797517	0 2 30 32 60 62 222 224 264 266 384 386 474 476	91921846320
SPT(16)	729068099656438063	0 18 40 54 78 114 156 184 210 238 280 316 340 354 376 394	147162486866
SPT(16)	729068644117066753	0 36 40 58 64 78 90 126 148 184 196 210 216 234 238 274	691623115556
STPT(10)	729068882282328491	0 2 36 38 78 80 120 122 156 158	929788377294
STPT(10)	729068970940483037	0 2 42 44 72 74 102 104 144 146	1018446531840