Prime p₀= 1568399157594671 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 70 2 40 2 16 2 40 2 (?)
a_n: 0 2 6 8 78 80 120 122 138 140 180 182
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: 182
Found by: stoneageman
db: batch=60, k=12, 4 70 40 16 40

SPT(14)	1568361999119917	0 16 30 36 40 66 82 84 100 126 130 136 150 166	-37158474754
TPT(12)	1568362884476147	0 2 60 62 90 92 210 212 264 266 312 314	-36273118524
SPT(14)	1568381199360653	0 60 66 80 86 90 108 146 164 168 174 188 194 254	-17958234018
SPT(14)	1568386661602067	0 54 114 132 150 206 216 230 240 296 314 332 392 446	-12495992604
SPT(14)	1568389070236181	0 8 18 30 36 42 50 78 86 92 98 110 120 128	-10087358490
TPT(12)	1568390259750959	0 2 30 32 150 152 162 164 168 170 210 212	-8897843712
SPT(16)	1568401779464431	0 28 30 46 48 52 66 72 106 112 126 130 132 148 150 178	2621869760
SPT(14)	1568410748781683	0 74 78 114 134 156 170 174 188 210 230 266 270 344	11591187012
SPT(16)	1568411687508803	0 18 30 36 44 140 176 198 356 378 414 510 518 524 536 554	12529914132
SPT(14)	1568418461641531	0 70 112 120 132 148 162 166 180 196 208 216 258 328	19304046860
TPT(12)	1568428820900351	0 2 18 20 60 62 126 128 168 170 216 218	29663305680