Prime p₀= 2933392109689891007 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 34 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 90 92 114 116 144 146
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: 146
Found by: gemini8
db: batch=82, k=12, 2 28 2 22 2 34

STPT(10)	2933390064505390667	0 2 60 62 72 74 84 86 144 146	-2045184500340
STPT(10)	2933390937902835869	0 2 18 20 30 32 42 44 60 62	-1171787055138
SPT(16)	2933391169756568867	0 26 36 42 56 90 114 126 140 152 176 210 224 230 240 266	-939933322140
SPT(16)	2933391273799344419	0 14 20 78 92 164 204 210 242 248 288 360 374 432 438 452	-835890546588
SPT(16)	2933391276292406329	0 4 22 138 154 192 222 228 424 430 460 498 514 630 648 652	-833397484678
STPT(10)	2933391515436447389	0 2 42 44 60 62 78 80 120 122	-594253443618
TPT(14)	2933392310380225877	0 2 42 44 150 152 162 164 204 206 210 212 294 296	200690334870
SPT(16)	2933392415816965099	0 12 18 22 30 48 60 70 90 100 112 130 138 142 148 160	306127074092
STPT(10)	2933392464998976191	0 2 30 32 78 80 126 128 156 158	355309085184
SPT(16)	2933392611990537397	0 16 70 84 100 114 150 172 204 226 262 276 292 306 360 376	502300646390
STPT(10)	2933392724227682147	0 2 12 14 72 74 132 134 144 146	614537791140