Prime p₀= 128271162419395139 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 10 2 40 2 28 2 4 2 (?)
a_n: 0 2 48 50 60 62 102 104 132 134 138 140
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: 140
Found by: amazing
db: batch=67, k=12, 46 10 40 28 4

SPT(14)	128271106226219461	0 16 18 30 60 72 82 126 136 148 178 190 192 208	-56193175678
SPT(14)	128271118241528029	0 4 10 34 48 78 88 150 160 190 204 228 234 238	-44177867110
SPT(14)	128271118523099963	0 8 14 80 110 138 164 204 230 258 288 354 360 368	-43896295176
TPT(12)	128271124462822037	0 2 12 14 30 32 54 56 114 116 144 146	-37956573102
SPT(14)	128271135865652047	0 4 34 60 90 102 114 130 142 154 184 210 240 244	-26553743092
SPT(14)	128271157421526827	0 2 24 32 56 74 114 122 162 180 204 212 234 236	-4997868312
SPT(14)	128271181168913197	0 72 94 100 112 132 150 154 172 192 204 210 232 304	18749518058
SPT(14)	128271188827932067	0 10 40 82 120 124 136 180 192 196 234 276 306 316	26408536928
SPT(14)	128271195065899103	0 14 38 150 168 180 210 308 338 350 368 480 504 518	32646503964
SPT(14)	128271202953836471	0 8 42 90 96 126 156 242 272 302 308 356 390 398	40534441332
TPT(12)	128271210250783679	0 2 30 32 60 62 72 74 78 80 162 164	47831388540