Prime p₀= 2446836568134352307 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: JayPi
db: batch=82, k=12, 2 40 2 16 2 22

SPT(16)	2446835245513543933	0 16 28 66 94 156 168 214 240 286 298 360 388 426 438 454	-1322620808374
STPT(10)	2446835383441617209	0 2 18 20 30 32 42 44 60 62	-1184692735098
SPT(16)	2446835661635294663	0 48 54 66 114 128 138 140 264 266 276 290 338 350 356 404	-906499057644
STPT(10)	2446836100352382371	0 2 6 8 48 50 90 92 96 98	-467781969936
STPT(10)	2446836323434590209	0 2 48 50 90 92 132 134 180 182	-244699762098
SPT(16)	2446836543895729229	0 24 54 114 122 132 140 164 258 282 290 300 308 368 398 422	-24238623078
SPT(16)	2446836786459209689	0 10 42 58 72 90 132 138 154 160 202 220 234 250 282 292	218324857382
STPT(10)	2446836942470495747	0 2 42 44 72 74 102 104 144 146	374336143440
SPT(16)	2446837160401670237	0 24 50 66 84 116 132 146 180 194 210 242 260 276 302 326	592267317930
TPT(14)	2446837397890162031	0 2 18 20 60 62 138 140 150 152 318 320 360 362	829755809724
STPT(10)	2446837496762432957	0 2 30 32 42 44 54 56 84 86	928628080650