Prime p₀= 400278243190333169 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 70 2 94 2 28 2 (?)
a_n: 0 2 30 32 60 62 132 134 228 230 258 260
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: 260
Found by: Ralfy
db: batch=70, k=12, 28 28 70 94 28

SPT(14)	400278141949875781	0 72 82 88 102 118 126 172 180 196 210 216 226 298	-101240457388
SPT(14)	400278167433722911	0 22 46 58 102 126 130 138 142 166 210 222 246 268	-75756610258
TPT(12)	400278205710168767	0 2 42 44 102 104 144 146 330 332 354 356	-37480164402
TPT(12)	400278206135972147	0 2 84 86 90 92 102 104 252 254 354 356	-37054361022
TPT(12)	400278209636709491	0 2 216 218 246 248 360 362 390 392 426 428	-33553623678
TPT(12)	400278210978025151	0 2 78 80 90 92 120 122 156 158 270 272	-32212308018
SPT(14)	400278253583951021	0 26 66 68 86 96 108 158 170 180 198 200 240 266	10393617852
TPT(12)	400278270525591149	0 2 18 20 102 104 228 230 240 242 282 284	27335257980
SPT(14)	400278275611116919	0 18 48 52 60 108 118 162 172 220 228 232 262 280	32420783750
SPT(14)	400278283996622401	0 10 16 30 42 52 100 108 156 166 178 192 198 208	40806289232
SPT(14)	400278284855309611	0 48 70 76 90 108 126 160 178 196 210 216 238 286	41664976442