Prime p₀= 511968849364490951 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 64 2 40 2 28 2 16 2 (?)
a_n: 0 2 30 32 96 98 138 140 168 170 186 188
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: 188
Found by: mcf2020
db: batch=71, k=12, 28 64 40 28 16

SPT(14)	511968775800192533	0 14 60 114 116 138 140 144 146 168 170 224 270 284	-73564298418
SPT(14)	511968795909845851	0 10 12 40 70 108 118 132 142 180 210 238 240 250	-53454645100
SPT(14)	511968804331810621	0 22 48 78 108 132 160 168 196 220 250 280 306 328	-45032680330
SPT(14)	511968809872714489	0 28 42 72 88 142 154 168 180 234 250 280 294 322	-39491776462
SPT(14)	511968816758432981	0 12 62 98 110 126 132 176 182 198 210 246 296 308	-32606057970
SPT(14)	511968837247522223	0 18 44 74 78 90 104 114 128 140 144 174 200 218	-12116968728
TPT(12)	511968862189469519	0 2 18 20 30 32 72 74 132 134 168 170	12824978568
SPT(14)	511968882257409919	0 4 34 42 58 70 82 90 102 114 130 138 168 172	32892918968
SPT(14)	511968885845579381	0 6 20 32 42 48 102 116 170 176 186 198 212 218	36481088430
SPT(14)	511968894384019889	0 20 32 48 90 102 110 180 188 200 242 258 270 290	45019528938
SPT(14)	511968942688813229	0 2 8 20 72 90 110 120 140 158 210 222 228 230	93324322278