Prime p₀= 1568349107536457 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 70 2 118 2 16 2 (?)
a_n: 0 2 30 32 42 44 114 116 234 236 252 254
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: 254
Found by: stoneageman
db: batch=60, k=12, 28 10 70 118 16

TPT(12)	1568318950672697	0 2 144 146 150 152 240 242 252 254 324 326	-30156863760
SPT(14)	1568329504816891	0 6 42 90 126 138 160 168 190 202 238 286 322 328	-19602719566
SPT(14)	1568332117626997	0 10 24 66 106 142 186 280 324 360 400 442 456 466	-16989909460
SPT(14)	1568333063841259	0 18 22 24 58 60 72 100 112 114 148 150 154 172	-16043695198
SPT(14)	1568338751173489	0 12 22 70 78 100 124 138 162 184 192 240 250 262	-10356362968
TPT(12)	1568339197120511	0 2 30 32 60 62 90 92 126 128 138 140	-9910415946
SPT(14)	1568351293865021	0 2 8 30 86 98 116 222 240 252 308 330 336 338	2186328564
SPT(14)	1568358915678439	0 10 48 52 100 114 162 190 238 252 300 304 342 352	9808141982
SPT(14)	1568361999119917	0 16 30 36 40 66 82 84 100 126 130 136 150 166	12891583460
TPT(12)	1568362884476147	0 2 60 62 90 92 210 212 264 266 312 314	13776939690
SPT(14)	1568381199360653	0 60 66 80 86 90 108 146 164 168 174 188 194 254	32091824196