Prime p₀= 590122053288682091 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 34 2 28 2 (?)
a_n: 0 2 36 38 78 80 90 92 126 128 156 158
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: 158
Found by: UBT - Timbo
db: batch=71, k=12, 34 40 10 34 28

SPT(14)	590121952494911329	0 22 28 52 58 72 124 138 190 204 210 234 240 262	-100793770762
SPT(14)	590121999678916349	0 50 72 78 138 182 198 344 360 404 464 470 492 542	-53609765742
TPT(12)	590122015149134957	0 2 30 32 54 56 84 86 192 194 222 224	-38139547134
SPT(14)	590122020808249379	0 42 50 92 98 128 140 192 204 234 240 282 290 332	-32480432712
SPT(14)	590122034698931809	0 12 42 78 112 142 172 180 210 240 274 310 340 352	-18589750282
SPT(14)	590122046316052339	0 24 42 64 108 118 150 172 204 214 258 280 298 322	-6972629752
SPT(14)	590122084188357811	0 18 52 60 70 72 82 156 166 168 178 186 220 238	30899675720
SPT(14)	590122095016898407	0 6 22 36 46 82 112 144 174 210 220 234 250 256	41728216316
SPT(14)	590122105759073963	0 6 20 140 150 174 176 234 236 260 270 390 404 410	52470391872
SPT(14)	590122128262055849	0 12 38 42 84 104 120 152 168 188 230 234 260 272	74973373758
SPT(14)	590122146109689461	0 20 38 56 90 102 116 132 146 158 192 210 228 248	92821007370