Prime p₀= 146558785668358697 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 16 2 10 2 16 2 28 2 (?)
a_n: 0 2 54 56 72 74 84 86 102 104 132 134
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: 134
Found by: forretrio
db: batch=67, k=12, 52 16 10 16 28

SPT(14)	146558710948942141	0 22 28 42 48 66 72 76 82 100 106 120 126 148	-74719416556
SPT(14)	146558719563959341	0 6 16 28 46 48 78 100 130 132 150 162 172 178	-66104399356
SPT(14)	146558741123386253	0 26 54 60 78 98 116 138 156 176 194 200 228 254	-44544972444
TPT(12)	146558751269405141	0 2 18 20 36 38 78 80 120 122 168 170	-34398953556
SPT(14)	146558761255772347	0 16 34 42 72 94 96 130 132 154 184 192 210 226	-24412586350
SPT(14)	146558781156399823	0 4 30 66 96 144 150 184 190 238 268 304 330 334	-4511958874
SPT(14)	146558790714242989	0 12 18 40 70 78 82 168 172 180 210 232 238 250	5045884292
SPT(14)	146558811873691199	0 2 14 80 104 140 164 240 264 300 324 390 402 404	26205332502
SPT(14)	146558812951260781	0 30 42 58 102 120 130 168 178 196 240 256 268 298	27282902084
SPT(14)	146558825314279507	0 6 10 16 24 30 52 54 76 82 90 96 100 106	39645920810
SPT(14)	146558842197734983	0 48 76 90 106 126 136 168 178 198 214 228 256 304	56529376286