Prime p₀= 51033768259209611 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 28 2 22 2 4 2 22 2 (?)
a_n: 0 2 66 68 96 98 120 122 126 128 150 152
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: 152
Found by: Dario666
db: batch=65, k=12, 64 28 22 4 22

SPT(14)	51033689988896581	0 10 30 42 66 82 96 142 156 172 196 208 228 238	-78270313030
SPT(14)	51033696789835559	0 24 38 48 60 98 150 158 210 248 260 270 284 308	-71469374052
TPT(12)	51033722123206391	0 2 6 8 18 20 48 50 60 62 126 128	-46136003220
SPT(16)	51033725983325023	0 64 126 130 138 168 180 196 198 214 226 256 264 268 330 394	-42275884588
SPT(14)	51033738480817661	0 6 8 20 56 66 116 132 182 192 228 240 242 248	-29778391950
TPT(12)	51033760228644077	0 2 42 44 54 56 84 86 150 152 222 224	-8030565534
SPT(14)	51033771172264249	0 40 64 78 118 120 144 274 298 300 340 354 378 418	2913054638
SPT(14)	51033778046577247	0 12 36 42 102 126 132 160 166 190 250 256 280 292	9787367636
SPT(14)	51033778591976657	0 50 92 122 144 162 164 180 182 200 222 252 294 344	10332767046
SPT(14)	51033780605671393	0 6 46 66 76 124 154 186 216 264 274 294 334 340	12346461782
SPT(14)	51033783800714999	0 8 14 20 30 32 42 50 60 62 72 78 84 92	15541505388