Prime p₀= 2254308034493987567 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: paulteo
db: batch=81, k=12, 2 40 2 16 2 22

SPT(16)	2254307495553063121	0 12 48 52 72 90 108 118 132 142 160 178 198 202 238 250	-538940924446
STPT(10)	2254307612077825487	0 2 30 32 42 44 54 56 84 86	-422416162080
SPT(16)	2254307712772623479	0 24 44 72 80 90 102 104 168 170 182 192 200 228 248 272	-321721364088
STPT(10)	2254307933112831809	0 2 12 14 90 92 168 170 180 182	-101381155758
SPT(16)	2254308009392738477	0 12 14 36 44 50 66 84 122 140 156 162 170 192 194 206	-25101249090
SPT(16)	2254308019960935469	0 10 42 48 88 100 108 130 222 244 252 264 304 310 342 352	-14533052098
SPT(18)	2254308411011414591	0 18 26 32 80 122 138 140 150 158 168 170 186 228 276 282 290 308	376517427024
SPT(16)	2254308521470899989	0 12 78 90 104 140 182 194 198 210 252 288 302 314 380 392	486976912422
TPT(14)	2254308890706252071	0 2 66 68 126 128 168 170 180 182 198 200 228 230	856212264504
SPT(16)	2254309203683439593	0 6 96 110 116 174 176 194 216 234 236 294 300 314 404 410	1169189452026
STPT(10)	2254309667660684069	0 2 42 44 60 62 78 80 120 122	1633166696502