Prime p₀= 146068498571773931 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 34 2 10 2 58 2 (?)
a_n: 0 2 30 32 60 62 96 98 108 110 168 170
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: 170
Found by: AlexxSaigon
db: batch=67, k=12, 28 28 34 10 58

SPT(14)	146068405560982943	0 8 20 24 30 84 104 114 134 188 194 198 210 218	-93010790988
SPT(14)	146068411317784523	0 44 84 98 128 138 200 204 266 276 306 320 360 404	-87253989408
SPT(16)	146068447895579161	0 16 18 46 52 78 88 102 106 120 130 156 162 190 192 208	-50676194770
SPT(14)	146068471824696893	0 24 36 54 66 104 114 146 156 194 206 224 236 260	-26747077038
SPT(14)	146068478141849603	0 30 84 126 146 174 204 230 260 288 308 350 404 434	-20429924328
SPT(14)	146068490954002723	0 54 106 108 120 138 148 156 166 184 196 198 250 304	-7617771208
SPT(14)	146068501252429751	0 6 32 42 48 80 86 102 108 140 146 156 182 188	2680655820
TPT(12)	146068506751071719	0 2 42 44 78 80 90 92 150 152 192 194	8179297788
SPT(14)	146068520797976251	0 16 28 46 48 100 132 166 198 250 252 270 282 298	22226202320
SPT(18)	146068526020252009	0 48 54 58 84 100 118 130 144 238 252 264 282 298 324 328 334 382	27448478078
SPT(14)	146068539926114681	0 30 38 80 98 110 126 140 156 168 186 228 236 266	41354340750