Prime p₀= 568832440205375051 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 94 2 70 2 10 2 4 2 22 2 (?)
a_n: 0 2 96 98 168 170 180 182 186 188 210 212
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: 212
Found by: schoussi
db: batch=71, k=12, 94 70 10 4 22

SPT(14)	568832361552630337	0 4 10 30 52 54 66 100 112 114 136 156 162 166	-78652744714
TPT(12)	568832372671474517	0 2 84 86 102 104 114 116 132 134 144 146	-67533900534
SPT(14)	568832379325668179	0 12 14 30 44 54 74 78 98 108 122 138 140 152	-60879706872
SPT(14)	568832386468992517	0 16 40 46 82 102 112 144 154 174 210 216 240 256	-53736382534
STPT(10)	568832413596162941	0 2 36 38 78 80 120 122 156 158	-26609212110
SPT(14)	568832424636924601	0 28 30 40 88 126 132 136 142 180 228 238 240 268	-15568450450
SPT(14)	568832470228959301	0 52 72 78 126 166 190 228 252 292 340 346 366 418	30023584250
SPT(14)	568832473103974427	0 14 50 104 116 122 126 140 144 150 162 216 252 266	32898599376
SPT(14)	568832501004771427	0 12 30 84 100 106 114 172 180 186 202 256 274 286	60799396376
SPT(14)	568832505236577391	0 12 18 28 42 90 102 148 160 208 222 232 238 250	65031202340
TPT(12)	568832509997457029	0 2 18 20 30 32 60 62 78 80 120 122	69792081978