Prime p₀= 186778071536643029 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 70 2 88 2 28 2 10 2 (?)
a_n: 0 2 48 50 120 122 210 212 240 242 252 254
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: RFGuy_KCCO
db: batch=69, k=12, 46 70 88 28 10

TPT(12)	186777996513032777	0 2 24 26 54 56 72 74 144 146 150 152	-75023610252
SPT(14)	186778011908181391	0 66 78 120 132 136 162 166 192 196 208 250 262 328	-59628461638
SPT(14)	186778013292971011	0 18 30 36 46 70 88 90 108 132 142 148 160 178	-58243672018
SPT(14)	186778019409935467	0 40 82 94 132 160 184 192 216 244 282 294 336 376	-52126707562
TPT(14)	186778034236257467	0 2 54 56 90 92 174 176 210 212 222 224 300 302	-37300385562
SPT(14)	186778059614936687	0 2 6 14 44 50 56 120 126 132 162 170 174 176	-11921706342
TPT(12)	186778071580379009	0 2 108 110 120 122 222 224 258 260 330 332	43735980
SPT(14)	186778074653423899	0 10 22 24 42 72 78 94 100 130 148 150 162 172	3116780870
SPT(14)	186778076204934503	0 18 38 44 56 60 66 98 104 108 120 126 146 164	4668291474
SPT(14)	186778089720057049	0 18 40 54 102 144 154 198 208 250 298 312 334 352	18183414020
SPT(14)	186778092239763061	0 16 72 76 78 100 120 148 168 190 192 196 252 268	20703120032