Prime p₀= 157661280273616499 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 28 2 70 2 10 2 94 2 (?)
a_n: 0 2 18 20 48 50 120 122 132 134 228 230
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: 230
Found by: [SG-2W]Kurzer
db: batch=67, k=12, 16 28 70 10 94

SPT(14)	157661215381406827	0 6 12 16 34 52 72 94 114 132 150 154 160 166	-64892209672
SPT(14)	157661224873858649	0 12 30 54 72 80 84 140 144 152 170 194 212 224	-55399757850
SPT(14)	157661227274660687	0 36 44 56 194 210 224 252 266 282 420 432 440 476	-52998955812
TPT(12)	157661231095989389	0 2 18 20 72 74 192 194 222 224 270 272	-49177627110
SPT(16)	157661250121903291	0 46 52 58 66 70 108 148 150 190 228 232 240 246 252 298	-30151713208
TPT(12)	157661258659371767	0 2 24 26 42 44 54 56 60 62 102 104	-21614244732
SPT(16)	157661292437810471	0 32 50 56 72 90 116 146 156 186 212 230 246 252 270 302	12164193972
SPT(14)	157661292805245139	0 78 82 100 144 148 154 198 204 208 252 270 274 352	12531628640
SPT(20)	157661297543832571	0 12 30 42 126 136 178 196 202 216 262 276 282 300 342 352 436 448 466 478	17270216072
SPT(14)	157661304123490481	0 12 42 98 116 138 156 182 200 222 240 296 326 338	23849873982
SPT(14)	157661307159070489	0 4 22 52 60 64 82 90 108 112 120 150 168 172	26885453990