Prime p₀= 729389871826240949 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
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: 122
Found by: [SG]steini
db: batch=73, k=12, 2 16 2 22 2 34

SPT(16)	729388773161283539	0 38 62 72 122 132 150 168 212 230 248 258 308 318 342 380	-1098664957410
STPT(10)	729388792183282949	0 2 48 50 90 92 132 134 180 182	-1079642958000
STPT(10)	729389285364630587	0 2 54 56 72 74 90 92 144 146	-586461610362
SPT(16)	729389559500905379	0 32 38 48 164 182 248 252 290 294 360 378 494 504 510 542	-312325335570
SPT(16)	729389650757976371	0 8 18 20 38 42 60 62 78 80 98 102 120 122 132 140	-221068264578
STPT(10)	729389738429859509	0 2 30 32 60 62 90 92 120 122	-133396381440
SPT(16)	729390048912853477	0 24 70 196 226 244 246 252 304 310 312 330 360 486 532 556	177086612528
STPT(10)	729390174744380717	0 2 12 14 42 44 72 74 84 86	302918139768
SPT(16)	729390217584146401	0 100 108 126 148 192 196 258 310 372 376 420 442 460 468 568	345757905452
SPT(16)	729390722419524449	0 18 50 62 78 84 98 174 188 264 278 284 300 312 344 362	850593283500
STPT(10)	729390808706035667	0 2 42 44 72 74 102 104 144 146	936879794718