Prime p₀= 371254259071577339 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 106 2 10 2 16 2 16 2 (?)
a_n: 0 2 12 14 120 122 132 134 150 152 168 170
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: Aleksander Parkitny
db: batch=70, k=12, 10 106 10 16 16

SPT(14)	371254193997045937	0 4 40 64 70 96 120 166 190 216 222 246 282 286	-65074531402
SPT(14)	371254202954748979	0 40 42 60 64 78 82 90 94 108 112 130 132 172	-56116828360
TPT(12)	371254210633757261	0 2 66 68 108 110 150 152 156 158 180 182	-48437820078
SPT(16)	371254222733674699	0 24 42 52 112 144 154 160 234 240 250 282 342 352 370 394	-36337902640
SPT(14)	371254245236956409	0 18 20 32 44 48 102 170 224 228 240 252 254 272	-13834620930
SPT(14)	371254258829774381	0 8 20 36 42 62 68 90 96 116 122 138 150 158	-241802958
SPT(14)	371254265554180291	0 6 12 72 148 162 178 180 196 210 286 346 352 358	6482602952
TPT(12)	371254267212765359	0 2 120 122 150 152 168 170 222 224 462 464	8141188020
TPT(12)	371254293499978619	0 2 12 14 42 44 78 80 132 134 162 164	34428401280
SPT(14)	371254305857858141	0 8 20 42 66 68 90 98 120 122 146 168 180 188	46786280802
TPT(14)	371254331926095647	0 2 12 14 30 32 150 152 234 236 282 284 402 404	72854518308