Prime p₀= 171886713101406671 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 34 2 58 2 40 2 10 2 (?)
a_n: 0 2 60 62 96 98 156 158 198 200 210 212
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: 212
Found by: Farscape
db: batch=67, k=12, 58 34 58 40 10

SPT(14)	171886688957940161	0 2 56 78 126 150 162 176 188 212 260 282 336 338	-24143466510
SPT(14)	171886690897605773	0 24 26 36 66 78 84 200 206 218 248 258 260 284	-22203800898
SPT(14)	171886693107304897	0 10 22 24 40 46 64 102 120 126 142 144 156 166	-19994101774
SPT(14)	171886694577561193	0 10 16 60 94 126 130 180 184 216 250 294 300 310	-18523845478
SPT(16)	171886702677297457	0 22 100 106 114 124 126 202 204 280 282 292 300 306 384 406	-10424109214
TPT(12)	171886709013434549	0 2 30 32 78 80 180 182 222 224 288 290	-4087972122
SPT(14)	171886730744036857	0 30 42 90 126 136 156 220 240 250 286 334 346 376	17642630186
SPT(14)	171886749846101839	0 72 90 112 148 154 168 184 198 204 240 262 280 352	36744695168
SPT(14)	171886756406269733	0 8 14 38 78 80 104 114 138 140 180 204 210 218	43304863062
SPT(14)	171886761132085487	0 14 20 26 54 56 80 120 144 146 174 180 186 200	48030678816
SPT(14)	171886791490245703	0 18 40 48 54 58 70 258 270 274 280 288 310 328	78388839032