Prime p₀= 146141962530020309 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 58 2 64 2 82 2 4 2 (?)
a_n: 0 2 12 14 72 74 138 140 222 224 228 230
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: 230
Found by: emoga
db: batch=67, k=12, 10 58 64 82 4

SPT(14)	146141918233079221	0 6 40 60 78 136 138 160 162 220 238 258 292 298	-44296941088
SPT(14)	146141926451613073	0 10 28 34 90 94 114 130 150 154 210 216 234 244	-36078407236
SPT(14)	146141940865602631	0 48 88 148 166 180 196 312 328 342 360 420 460 508	-21664417678
SPT(14)	146141945235420887	0 12 20 42 62 90 102 134 146 174 194 216 224 236	-17294599422
SPT(14)	146141945693167121	0 18 26 32 38 60 78 80 98 120 126 132 140 158	-16836853188
SPT(14)	146141946540857021	0 2 18 60 62 96 132 206 242 276 278 320 336 338	-15989163288
SPT(14)	146141972849131829	0 20 42 170 182 192 198 224 230 240 252 380 402 422	10319111520
SPT(14)	146141989358502667	0 24 40 52 60 70 82 222 234 244 252 264 280 304	26828482358
SPT(14)	146142004124292569	0 32 72 78 98 108 120 122 134 144 164 170 210 242	41594272260
TPT(12)	146142004328936969	0 2 12 14 42 44 78 80 132 134 192 194	41798916660
SPT(14)	146142006497171609	0 18 30 38 42 72 74 78 80 110 114 122 134 152	43967151300