Prime p₀= 18695032105708811 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 106 2 10 2 28 2 58 2 (?)
a_n: 0 2 30 32 138 140 150 152 180 182 240 242
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: emoga
db: batch=62, k=12, 28 106 10 28 58

SPT(14)	18694978049757367	0 12 22 24 52 64 72 94 102 114 142 144 154 166	-54055951444
SPT(14)	18694981185644003	0 8 30 56 60 80 144 230 294 314 318 344 366 374	-50920064808
TPT(12)	18694988616623477	0 2 12 14 42 44 54 56 270 272 294 296	-43489085334
TPT(12)	18694990931276909	0 2 18 20 132 134 138 140 240 242 300 302	-41174431902
TPT(12)	18694992980437181	0 2 48 50 78 80 90 92 168 170 270 272	-39125271630
TPT(12)	18695014709688521	0 2 66 68 78 80 138 140 156 158 180 182	-17396020290
SPT(14)	18695044729281191	0 6 42 68 90 140 168 200 228 278 300 326 362 368	12623572380
SPT(14)	18695052630240199	0 10 22 24 72 100 108 124 132 160 208 210 222 232	20524531388
SPT(16)	18695057414937991	0 10 28 40 118 138 142 198 202 258 262 282 360 372 390 400	25309229180
SPT(14)	18695066429334947	0 12 26 44 66 72 114 122 164 170 192 210 224 236	34323626136
SPT(14)	18695066840660831	0 8 38 62 108 140 150 200 210 242 288 312 342 350	34734952020