Prime p₀= 1750791800514174137 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: Orange Kid
db: batch=79, k=12, 2 10 2 10 2 4

SPT(16)	1750790558388363839	0 74 90 98 110 128 182 210 272 300 354 372 384 392 408 482	-1242125810298
STPT(10)	1750791048675771017	0 2 24 26 42 44 60 62 84 86	-751838403120
STPT(10)	1750791157128129131	0 2 36 38 78 80 120 122 156 158	-643386045006
STPT(10)	1750791171761320691	0 2 36 38 78 80 120 122 156 158	-628752853446
SPT(16)	1750791352089915329	0 12 18 50 60 62 138 192 218 272 348 350 360 392 398 410	-448424258808
SPT(16)	1750791504060674819	0 30 38 50 80 104 164 168 170 174 234 258 288 300 308 338	-296453499318
STPT(10)	1750792087133705459	0 2 18 20 30 32 42 44 60 62	286619531322
SPT(16)	1750792265220194593	0 78 94 106 154 160 174 178 276 280 294 300 348 360 376 454	464706020456
SPT(16)	1750792621167345533	0 44 66 74 86 120 156 180 224 248 284 318 330 338 360 404	820653171396
STPT(10)	1750792821319814639	0 2 12 14 90 92 168 170 180 182	1020805640502
SPT(16)	1750793049912841241	0 30 38 68 80 98 110 126 140 156 168 186 198 228 236 266	1249398667104