Prime p₀= 432145834951514837 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 28 2 76 2 70 2 16 2 (?)
a_n: 0 2 84 86 114 116 192 194 264 266 282 284
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: 284
Found by: scrap
db: batch=70, k=12, 82 28 76 70 16

SPT(14)	432145734981271357	0 4 12 34 70 100 112 144 156 186 222 244 252 256	-99970243480
SPT(14)	432145757480771273	0 8 56 80 98 128 146 150 168 198 216 240 288 296	-77470743564
SPT(14)	432145775955693029	0 2 20 24 38 48 62 90 104 114 128 132 150 152	-58995821808
SPT(14)	432145783114968911	0 2 18 32 48 60 72 146 158 170 186 200 216 218	-51836545926
SPT(14)	432145824677324239	0 18 30 34 52 72 100 252 280 300 318 322 334 352	-10274190598
STPT(10)	432145829119953209	0 2 18 20 30 32 42 44 60 62	-5831561628
SPT(14)	432145878680341939	0 22 58 60 70 88 144 148 204 222 232 234 270 292	43728827102
TPT(12)	432145884756778847	0 2 12 14 42 44 72 74 114 116 132 134	49805264010
SPT(14)	432145904451016961	0 20 38 56 60 80 90 98 108 128 132 150 168 188	69499502124
TPT(12)	432145909482006611	0 2 36 38 90 92 126 128 168 170 180 182	74530491774
SPT(14)	432145915310639339	0 12 38 80 108 182 188 264 270 344 372 414 440 452	80359124502