Prime p₀= 120088065568515479 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 34 2 40 2 (?)
a_n: 0 2 12 14 30 32 42 44 78 80 120 122
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: 122
Found by: bluestick.eu
db: batch=67, k=12, 10 16 10 34 40

SPT(14)	120087999381980051	0 2 8 38 60 102 122 126 146 188 210 240 246 248	-66186535428
SPT(14)	120088000560030469	0 40 52 114 120 124 142 150 168 172 178 240 252 292	-65008485010
SPT(14)	120088004740905247	0 36 72 124 126 156 210 226 280 310 312 364 400 436	-60827610232
SPT(16)	120088031773352191	0 22 42 48 58 82 96 118 120 142 156 180 190 196 216 238	-33795163288
SPT(14)	120088040638485481	0 28 46 66 70 78 90 106 118 126 130 150 168 196	-24930029998
TPT(12)	120088060632793439	0 2 42 44 60 62 90 92 168 170 180 182	-4935722040
SPT(14)	120088067492468303	0 18 26 44 78 96 120 134 158 176 210 228 236 254	1923952824
SPT(14)	120088073571206359	0 10 12 34 112 154 190 222 258 300 378 400 402 412	8002690880
SPT(14)	120088074420524449	0 18 30 40 82 100 130 150 180 198 240 250 262 280	8852008970
SPT(14)	120088094274830089	0 4 48 64 88 90 102 160 172 174 198 214 258 262	28706314610
SPT(14)	120088096573869233	0 14 18 68 78 116 134 150 168 206 216 266 270 284	31005353754