Prime p₀= 586957615606216667 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 178 2 22 2 88 2 28 2 4 2 (?)
a_n: 0 2 180 182 204 206 294 296 324 326 330 332
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: 332
Found by: JagDoc
db: batch=71, k=12, 178 22 88 28 4

SPT(14)	586957528417547363	0 30 38 44 48 86 96 98 108 146 150 156 164 194	-87188669304
TPT(12)	586957571001776519	0 2 18 20 138 140 180 182 252 254 312 314	-44604440148
SPT(14)	586957574053584869	0 44 72 90 98 134 144 158 168 204 212 230 258 302	-41552631798
SPT(14)	586957588706457029	0 18 132 138 150 182 188 222 228 260 272 278 392 410	-26899759638
SPT(14)	586957598938208101	0 10 28 48 120 142 148 162 168 190 262 282 300 310	-16668008566
SPT(14)	586957604226510197	0 42 62 80 92 132 150 182 200 240 252 270 290 332	-11379706470
SPT(14)	586957650227747563	0 10 34 36 88 100 136 168 204 216 268 270 294 304	34621530896
SPT(14)	586957663528830877	0 12 30 34 70 76 82 84 90 96 132 136 154 166	47922614210
SPT(14)	586957667342402989	0 58 94 150 174 208 250 252 294 328 352 408 444 502	51736186322
SPT(14)	586957673935776863	0 56 66 68 96 98 126 128 156 158 186 188 198 254	58329560196
STPT(10)	586957673935776929	0 2 30 32 60 62 90 92 120 122	58329560262