Prime p₀= 252899253348206189 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 10 2 28 2 136 2 10 2 (?)
a_n: 0 2 48 50 60 62 90 92 228 230 240 242
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: 242
Found by: scrap
db: batch=69, k=12, 46 10 28 136 10

SPT(14)	252899143502080337	0 26 42 72 86 96 104 132 140 150 164 194 210 236	-109846125852
SPT(14)	252899182050089011	0 28 42 78 138 156 166 282 292 310 370 406 420 448	-71298117178
SPT(14)	252899196310871171	0 6 36 48 68 90 92 96 98 120 140 152 182 188	-57037335018
SPT(14)	252899197342526309	0 18 38 78 110 120 150 170 200 210 242 282 302 320	-56005679880
SPT(14)	252899223131397571	0 28 42 58 78 88 100 108 120 130 150 166 180 208	-30216808618
SPT(14)	252899234691777539	0 24 38 68 78 84 90 98 104 110 120 150 164 188	-18656428650
TPT(12)	252899257802703077	0 2 24 26 60 62 102 104 324 326 354 356	4454496888
SPT(14)	252899349671827189	0 24 30 70 90 114 118 144 148 172 192 232 238 262	96323621000
SPT(14)	252899354546894267	0 42 60 80 132 212 254 312 354 434 486 506 524 566	101198688078
SPT(14)	252899355671834063	0 8 14 24 38 48 90 98 140 150 164 174 180 188	102323627874
SPT(14)	252899361078825551	0 6 18 48 60 90 96 110 116 146 158 188 200 206	107730619362