Prime p₀= 1370590073110638041 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 22 2 124 2 22 2 4 2 (?)
a_n: 0 2 6 8 30 32 156 158 180 182 186 188
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: 188
Found by: Theadalus
db: batch=77, k=12, 2 4 2 22 2 124

SPT(16)	1370589298034469437	0 14 80 92 126 182 192 212 234 254 264 320 354 366 432 446	-775076168604
STPT(10)	1370589414227944607	0 2 54 56 72 74 90 92 144 146	-658882693434
STPT(10)	1370589434680627781	0 2 6 8 48 50 90 92 96 98	-638430010260
SPT(18)	1370589444755458451	0 38 42 80 102 108 138 140 170 210 240 242 272 278 300 338 342 380	-628355179590
STPT(10)	1370589644524938191	0 2 6 8 48 50 90 92 96 98	-428585699850
SPT(16)	1370590051704802207	0 4 6 70 94 144 186 196 234 244 286 336 360 424 426 430	-21405835834
STPT(10)	1370590241870584739	0 2 12 14 90 92 168 170 180 182	168759946698
SPT(16)	1370590280719257701	0 38 110 120 140 158 168 228 242 302 312 330 350 360 432 470	207608619660
SPT(16)	1370590394474887711	0 12 52 58 60 118 138 220 258 340 360 418 420 426 466 478	321364249670
STPT(10)	1370590430264953361	0 2 36 38 78 80 120 122 156 158	357154315320
TPT(14)	1370590673294438837	0 2 24 26 150 152 192 194 204 206 300 302 372 374	600183800796