Prime p₀= 511967205960047657 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 28 2 76 2 58 2 58 2 (?)
a_n: 0 2 54 56 84 86 162 164 222 224 282 284
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: 284
Found by: mcf2020
db: batch=71, k=12, 52 28 76 58 58

SPT(16)	511967091527670613	0 24 46 64 66 70 106 118 186 198 234 238 240 258 280 304	-114432377044
SPT(14)	511967125360730783	0 20 30 38 44 56 78 86 108 120 126 134 144 164	-80599316874
TPT(12)	511967140878033977	0 2 42 44 132 134 210 212 294 296 300 302	-65082013680
SPT(16)	511967157349909771	0 60 108 112 156 186 198 222 226 250 262 292 336 340 388 448	-48610137886
SPT(14)	511967178177079181	0 30 32 156 186 198 200 228 230 242 272 396 398 428	-27782968476
SPT(14)	511967200079556241	0 12 18 40 60 82 130 138 186 208 228 250 256 268	-5880491416
TPT(12)	511967208777329969	0 2 138 140 180 182 222 224 228 230 240 242	2817282312
SPT(14)	511967211991922161	0 12 40 46 72 76 82 90 96 100 126 132 160 172	6031874504
SPT(14)	511967213926218871	0 30 42 52 88 90 100 120 130 132 168 178 190 220	7966171214
SPT(14)	511967217934088633	0 44 48 66 120 134 146 198 210 224 278 296 300 344	11974040976
SPT(14)	511967223871661081	0 42 60 62 96 116 150 188 222 242 276 278 296 338	17911613424