Prime p₀= 357710952202838159 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 4 2 22 2 106 2 16 2 (?)
a_n: 0 2 72 74 78 80 102 104 210 212 228 230
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: 230
Found by: mcf2020
db: batch=70, k=12, 70 4 22 106 16

SPT(14)	357710875505207449	0 10 12 18 52 64 78 154 168 180 214 220 222 232	-76697630710
SPT(14)	357710884518130151	0 2 8 56 72 110 120 128 138 176 192 240 246 248	-67684708008
SPT(14)	357710892874150001	0 26 60 98 132 140 158 240 258 266 300 338 372 398	-59328688158
SPT(14)	357710906013798769	0 28 40 70 82 120 132 160 172 210 222 252 264 292	-46189039390
TPT(12)	357710911126911191	0 2 78 80 90 92 246 248 276 278 306 308	-41075926968
SPT(14)	357710927149172621	0 30 36 38 48 126 156 182 212 290 300 302 308 338	-25053665538
SPT(14)	357710952452611519	0 4 10 12 34 40 54 88 102 108 130 132 138 142	249773360
SPT(14)	357710962445313241	0 46 100 108 120 136 142 156 162 178 190 198 252 298	10242475082
SPT(14)	357710964532402751	0 12 48 56 90 98 102 176 180 188 222 230 266 278	12329564592
SPT(14)	357710964849504751	0 88 90 102 148 168 172 216 220 240 286 298 300 388	12646666592
SPT(14)	357710976761774183	0 56 60 120 126 140 144 230 234 248 254 314 318 374	24558936024