Prime p₀= 491122108816665167 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 88 2 28 2 46 2 58 2 (?)
a_n: 0 2 84 86 174 176 204 206 252 254 312 314
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: 314
Found by: marsinph
db: batch=70, k=12, 82 88 28 46 58

SPT(14)	491122009034874407	0 26 72 86 92 110 116 120 126 144 150 164 210 236	-99781790760
SPT(14)	491122018277387033	0 54 80 96 98 146 150 164 168 216 218 234 260 314	-90539278134
SPT(14)	491122069233839599	0 22 34 40 70 90 100 222 232 252 282 288 300 322	-39582825568
SPT(14)	491122085367404471	0 8 38 110 222 242 260 270 288 308 420 492 522 530	-23449260696
SPT(14)	491122094799604291	0 46 48 70 90 126 130 156 160 196 216 238 240 286	-14017060876
TPT(12)	491122107134969279	0 2 48 50 60 62 72 74 90 92 102 104	-1681695888
TPT(12)	491122133686164887	0 2 12 14 54 56 174 176 282 284 294 296	24869499720
SPT(14)	491122148691443777	0 36 110 132 182 210 222 224 236 264 314 336 410 446	39874778610
SPT(14)	491122200844546247	0 36 60 110 116 144 176 204 236 264 270 320 344 380	92027881080
SPT(14)	491122204696295147	0 24 26 44 50 54 92 114 152 156 162 180 182 206	95879629980
SPT(14)	491122250504201611	0 12 28 72 88 120 126 142 148 180 196 240 256 268	141687536444