Prime p₀= 3743127531395387 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 40 2 10 2 64 2 40 2 (?)
a_n: 0 2 90 92 132 134 144 146 210 212 252 254
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: Agus
db: batch=61, k=12, 88 40 10 64 40

SPT(14)	3743104425308309	0 24 42 74 80 92 98 144 150 162 168 200 218 242	-23106087078
SPT(14)	3743110804667011	0 10 22 42 52 60 130 162 232 240 250 270 282 292	-16726728376
SPT(14)	3743112123295133	0 8 18 44 78 84 98 180 194 200 234 260 270 278	-15408100254
SPT(14)	3743115978028283	0 8 26 50 80 86 98 108 120 126 156 180 198 206	-11553367104
SPT(14)	3743125136880839	0 42 50 78 98 120 128 132 140 162 182 210 218 260	-2394514548
SPT(14)	3743126923174421	0 18 26 68 90 102 116 132 146 158 180 222 230 248	-608220966
SPT(14)	3743129774360983	0 4 10 24 40 48 70 108 130 138 154 168 174 178	2242965596
SPT(14)	3743134451334319	0 18 54 90 130 144 150 202 208 222 262 298 334 352	6919938932
SPT(14)	3743136077986343	0 24 38 54 68 78 84 134 140 150 164 180 194 218	8546590956
SPT(14)	3743145316686187	0 40 42 46 96 136 156 196 216 256 306 310 312 352	17785290800
SPT(14)	3743158267583549	0 14 20 24 48 68 80 138 150 170 194 198 204 218	30736188162