Prime p₀= 86234548119995687 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 88 2 88 2 190 2 28 2 (?)
a_n: 0 2 60 62 150 152 240 242 432 434 462 464
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: 464
Found by: Steve Dodd
db: batch=67, k=12, 58 88 88 190 28

SPT(14)	86234444163828781	0 28 30 36 60 72 78 100 106 118 142 148 150 178	-103956166906
TPT(12)	86234453540795969	0 2 12 14 78 80 120 122 132 134 162 164	-94579199718
SPT(14)	86234460866847823	0 10 34 46 76 124 126 178 180 228 258 270 294 304	-87253147864
SPT(14)	86234468186809231	0 28 42 78 90 112 120 148 156 178 190 226 240 268	-79933186456
SPT(14)	86234478542219897	0 36 54 74 92 96 114 182 200 204 222 242 260 296	-69577775790
SPT(14)	86234536961357647	0 4 22 24 52 76 90 106 120 144 172 174 192 196	-11158638040
SPT(14)	86234558143518053	0 86 140 146 170 180 188 198 206 216 240 246 300 386	10023522366
SPT(14)	86234563731291979	0 48 54 78 100 132 178 264 310 342 364 388 394 442	15611296292
SPT(14)	86234605558736629	0 4 10 40 52 54 108 124 178 180 192 222 228 232	57438740942
SPT(14)	86234616744305831	0 6 26 32 42 50 60 92 102 110 120 126 146 152	68624310144
SPT(14)	86234618142225187	0 12 34 52 82 150 172 174 196 264 294 312 334 346	70022229500