Prime p₀= 290195708052897341 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 16 2 70 2 34 2 10 2 (?)
a_n: 0 2 30 32 48 50 120 122 156 158 168 170
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: desktop64
db: batch=69, k=12, 28 16 70 34 10

SPT(14)	290195636978439641	0 42 50 72 92 108 128 150 170 186 206 228 236 278	-71074457700
SPT(16)	290195651743226993	0 26 44 54 56 96 110 134 156 180 194 234 236 246 264 290	-56309670348
SPT(14)	290195657169932093	0 6 26 60 110 116 150 350 384 390 440 474 494 500	-50882965248
SPT(14)	290195679519743573	0 6 14 50 56 66 80 90 104 114 120 156 164 170	-28533153768
SPT(14)	290195684681042779	0 42 52 70 72 84 88 114 118 130 132 150 160 202	-23371854562
SPT(14)	290195699985550967	0 12 56 72 110 114 116 210 212 216 254 270 314 326	-8067346374
TPT(14)	290195715048129479	0 2 30 32 120 122 162 164 180 182 222 224 318 320	6995232138
TPT(12)	290195715863243261	0 2 36 38 66 68 78 80 198 200 210 212	7810345920
SPT(14)	290195760435232243	0 34 40 64 196 210 216 274 280 294 426 450 456 490	52382334902
SPT(14)	290195772597877837	0 4 42 82 124 144 160 174 190 210 252 292 330 334	64544980496
SPT(14)	290195776564560673	0 6 28 34 46 60 66 88 94 108 120 126 148 154	68511663332