Prime p₀= 497353062647750081 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 10 2 16 2 22 2 16 2 (?)
a_n: 0 2 36 38 48 50 66 68 90 92 108 110
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: 110
Found by: mcf2020
db: batch=70, k=12, 34 10 16 22 16

SPT(14)	497352992872981807	0 16 22 42 52 72 100 156 184 204 214 234 240 256	-69774768274
SPT(14)	497352996220567339	0 40 58 124 130 132 144 208 220 222 228 294 312 352	-66427182742
SPT(14)	497353009116453419	0 18 42 90 132 138 140 150 152 158 200 248 272 290	-53531296662
SPT(14)	497353011123292097	0 30 96 174 204 212 222 254 264 272 302 380 446 476	-51524457984
TPT(12)	497353034822645801	0 2 60 62 156 158 216 218 228 230 270 272	-27825104280
TPT(12)	497353047766057487	0 2 42 44 114 116 144 146 180 182 222 224	-14881692594
SPT(14)	497353086032502361	0 16 18 70 82 138 142 156 160 216 228 280 282 298	23384752280
TPT(12)	497353092211352327	0 2 12 14 30 32 84 86 150 152 192 194	29563602246
SPT(14)	497353093857297347	0 14 26 36 120 134 150 176 192 206 290 300 312 326	31209547266
SPT(14)	497353112515937543	0 74 78 108 138 144 204 224 284 290 320 350 354 428	49868187462
SPT(14)	497353134077574113	0 14 26 30 110 120 138 206 224 234 314 318 330 344	71429824032