Prime p₀= 2239321320077190827 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: Orange Kid
db: batch=81, k=12, 2 28 2 28 2 40

STPT(10)	2239318536394818881	0 2 30 32 60 62 90 92 120 122	-2783682371946
STPT(10)	2239319338431766601	0 2 6 8 48 50 90 92 96 98	-1981645424226
STPT(10)	2239320089607569009	0 2 18 20 30 32 42 44 60 62	-1230469621818
SPT(16)	2239320205752304579	0 34 60 88 160 190 204 214 258 268 282 312 384 412 438 472	-1114324886248
TPT(14)	2239320805534992689	0 2 12 14 30 32 42 44 180 182 210 212 312 314	-514542198138
SPT(16)	2239320949769387401	0 16 22 36 102 112 126 142 156 172 186 196 262 276 282 298	-370307803426
STPT(12)	2239321647145463897	0 2 42 44 84 86 90 92 132 134 174 176	327068273070
STPT(10)	2239321739700544361	0 2 36 38 78 80 120 122 156 158	419623353534
STPT(10)	2239322154479232881	0 2 36 38 78 80 120 122 156 158	834402042054
STPT(10)	2239322167454903327	0 2 24 26 42 44 60 62 84 86	847377712500
SPT(16)	2239322171241716221	0 30 42 58 70 178 226 310 378 462 510 618 630 646 658 688	851164525394