Prime p₀= 86122898310359957 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 46 2 10 2 40 2 16 2 (?)
a_n: 0 2 12 14 60 62 72 74 114 116 132 134
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: 134
Found by: LCB001
db: batch=67, k=12, 10 46 10 40 16

SPT(14)	86122766902821811	0 10 22 30 96 112 136 156 180 196 262 270 282 292	-131407538146
TPT(12)	86122773538379111	0 2 6 8 18 20 30 32 48 50 78 80	-124771980846
SPT(14)	86122808845448677	0 22 24 40 70 124 150 154 180 234 264 280 282 304	-89464911280
SPT(14)	86122817184241687	0 6 36 70 100 136 150 160 174 210 240 274 304 310	-81126118270
SPT(14)	86122823539061299	0 12 34 42 60 70 78 214 222 232 250 258 280 292	-74771298658
SPT(14)	86122877705807011	0 18 28 60 102 112 132 166 186 196 238 270 280 298	-20604552946
SPT(14)	86122909599810437	0 56 92 134 146 170 176 180 186 210 222 264 300 356	11289450480
SPT(14)	86122917424769653	0 54 64 120 124 136 148 156 168 180 184 240 250 304	19114409696
TPT(12)	86122920278849189	0 2 30 32 222 224 240 242 360 362 378 380	21968489232
SPT(14)	86122924203730693	0 24 30 34 60 76 88 156 168 184 210 214 220 244	25893370736
SPT(14)	86122941170983627	0 4 22 30 42 52 106 150 204 214 226 234 252 256	42860623670