Prime p₀= 6314126289914501 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 28 2 28 2 34 2 10 2 (?)
a_n: 0 2 60 62 90 92 120 122 156 158 168 170
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: Egon olsen
db: batch=62, k=12, 58 28 28 34 10

SPT(14)	6314077260831517	0 4 52 66 106 126 154 192 220 240 280 294 342 346	-49029082984
SPT(14)	6314090265641429	0 8 38 78 110 168 182 228 242 300 332 372 402 410	-36024273072
SPT(14)	6314094999373261	0 6 18 88 112 126 150 178 202 216 240 310 322 328	-31290541240
SPT(14)	6314098886198083	0 4 40 54 88 94 156 208 270 276 310 324 360 364	-27403716418
SPT(14)	6314120052461723	0 8 68 108 116 138 150 176 188 210 218 258 318 326	-6237452778
TPT(12)	6314124376809671	0 2 6 8 30 32 78 80 90 92 168 170	-1913104830
SPT(14)	6314130619910699	0 42 62 174 188 252 284 288 320 384 398 510 530 572	4329996198
SPT(14)	6314132659653391	0 18 72 88 100 136 150 178 192 228 240 256 310 328	6369738890
SPT(14)	6314146505119433	0 14 26 30 36 54 74 120 140 158 164 168 180 194	20215204932
SPT(14)	6314156241246487	0 6 22 34 36 72 90 106 124 160 162 174 190 196	29951331986
SPT(14)	6314157251704129	0 24 28 58 60 70 78 94 102 112 114 144 148 172	30961789628