Prime p₀= 584525531992648931 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 4 2 112 2 58 2 34 2 (?)
a_n: 0 2 60 62 66 68 180 182 240 242 276 278
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: 278
Found by: Alnitak2019
db: batch=71, k=12, 58 4 112 58 34

TPT(12)	584525489565729119	0 2 72 74 78 80 198 200 258 260 288 290	-42426919812
TPT(12)	584525494174724651	0 2 90 92 180 182 306 308 330 332 360 362	-37817924280
SPT(14)	584525495901564863	0 18 24 114 120 164 170 204 210 254 260 350 356 374	-36091084068
SPT(14)	584525518913011811	0 18 20 38 48 72 108 122 158 182 192 210 212 230	-13079637120
SPT(14)	584525519540216707	0 34 46 244 256 270 274 312 316 330 342 540 552 586	-12452432224
SPT(14)	584525521077123541	0 10 48 58 160 208 222 238 252 300 402 412 450 460	-10915525390
SPT(14)	584525543348071111	0 30 72 160 198 210 222 238 250 262 300 388 430 460	11355422180
SPT(14)	584525554726865207	0 14 24 36 42 74 84 92 102 134 140 152 162 176	22734216276
SPT(14)	584525557863581101	0 10 22 42 52 88 106 132 150 186 196 216 228 238	25870932170
SPT(14)	584525562734847451	0 16 40 76 132 156 160 168 172 196 252 288 312 328	30742198520
SPT(14)	584525570181411151	0 12 52 66 72 100 108 130 138 166 172 186 226 238	38188762220