Prime p₀= 68657697439225469 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 34 2 28 2 10 2 46 2 (?)
a_n: 0 2 42 44 78 80 108 110 120 122 168 170
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: 170
Found by: emoga
db: batch=67, k=12, 40 34 28 10 46

SPT(14)	68657592922659547	0 16 46 76 120 126 156 160 190 196 240 270 300 316	-104516565922
TPT(12)	68657628907837391	0 2 6 8 36 38 78 80 90 92 120 122	-68531388078
SPT(14)	68657635557881639	0 44 54 68 114 140 170 222 252 278 324 338 348 392	-61881343830
SPT(14)	68657655050380241	0 6 66 80 110 140 146 150 156 186 216 230 290 296	-42388845228
SPT(14)	68657688303884377	0 60 66 84 90 112 126 130 144 166 172 190 196 256	-9135341092
SPT(14)	68657691741499589	0 42 72 110 114 128 164 198 234 248 252 290 320 362	-5697725880
TPT(12)	68657707679431181	0 2 36 38 48 50 120 122 276 278 306 308	10240205712
SPT(14)	68657715929030479	0 30 34 54 108 138 142 150 154 184 238 258 262 292	18489805010
SPT(14)	68657716786382513	0 18 44 80 114 138 150 158 170 194 228 264 290 308	19347157044
TPT(12)	68657721083787221	0 2 66 68 78 80 138 140 150 152 168 170	23644561752
SPT(16)	68657722589346403	0 16 18 28 60 90 120 126 190 196 226 256 288 298 300 316	25150120934