Prime p₀= 463243507681721057 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 10 2 46 2 28 2 40 2 (?)
a_n: 0 2 42 44 54 56 102 104 132 134 174 176
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: 176
Found by: szymmirr
db: batch=70, k=12, 40 10 46 28 40

SPT(14)	463243441698700297	0 6 24 34 64 66 76 84 94 96 126 136 154 160	-65983020760
SPT(14)	463243443154963181	0 8 90 110 140 146 152 156 162 168 198 218 300 308	-64526757876
SPT(16)	463243450518018983	0 14 116 126 158 170 218 228 236 246 294 306 338 348 450 464	-57163702074
SPT(14)	463243489958490191	0 12 26 30 56 68 110 198 240 252 278 282 296 308	-17723230866
SPT(14)	463243491596511121	0 6 58 72 100 130 132 166 168 198 226 240 292 298	-16085209936
SPT(14)	463243503773440991	0 2 18 38 66 116 152 186 222 272 300 320 336 338	-3908280066
TPT(12)	463243509255551291	0 2 78 80 126 128 150 152 156 158 210 212	1573830234
SPT(14)	463243509955224203	0 36 38 50 56 80 116 150 186 210 216 228 230 266	2273503146
SPT(14)	463243513575493039	0 12 22 28 30 64 70 72 78 112 114 120 130 142	5893771982
SPT(14)	463243523432359687	0 54 70 76 84 90 154 162 226 232 240 246 262 316	15750638630
SPT(14)	463243537344794587	0 40 42 76 82 150 156 160 166 234 240 274 276 316	29663073530