Prime p₀= 293145595034902691 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 148 2 22 2 16 2 40 2 (?)
a_n: 0 2 6 8 156 158 180 182 198 200 240 242
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: 242
Found by: mcf2020
db: batch=69, k=12, 4 148 22 16 40

SPT(14)	293145485697559487	0 12 42 56 66 122 182 240 300 356 366 380 410 422	-109337343204
SPT(14)	293145497506870093	0 16 40 46 66 78 138 238 298 310 330 336 360 376	-97528032598
SPT(14)	293145502625115769	0 12 18 82 94 142 144 208 210 258 270 334 340 352	-92409786922
SPT(14)	293145533467079089	0 18 30 40 60 70 84 88 102 112 132 142 154 172	-61567823602
SPT(14)	293145564852994067	0 2 32 60 102 104 152 174 222 224 266 294 324 326	-30181908624
SPT(14)	293145587200853659	0 12 48 54 70 90 108 154 172 192 208 214 250 262	-7834049032
SPT(14)	293145604857630599	0 60 62 72 92 140 144 158 162 210 230 240 242 302	9822727908
SPT(14)	293145608753257219	0 12 40 78 88 102 120 190 208 222 232 270 298 310	13718354528
SPT(14)	293145620900679587	0 24 104 110 122 132 144 392 404 414 426 432 512 536	25865776896
TPT(12)	293145656085843479	0 2 18 20 42 44 48 50 78 80 90 92	61050940788
SPT(14)	293145673817848051	0 6 16 30 48 70 72 76 78 100 118 132 142 148	78782945360