Prime p₀= 58519219731832817 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 10 2 34 2 22 2 28 2 (?)
a_n: 0 2 12 14 24 26 60 62 84 86 114 116
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: 116
Found by: Ralfy
db: batch=67, k=12, 10 10 34 22 28

SPT(14)	58519150499784047	0 2 24 36 62 80 132 164 216 234 260 272 294 296	-69232048770
SPT(14)	58519164839488481	0 8 66 72 86 108 168 170 230 252 266 272 330 338	-54892344336
SPT(14)	58519179364720111	0 46 58 78 100 102 136 162 196 198 220 240 252 298	-40367112706
SPT(14)	58519207087092781	0 12 18 30 66 96 112 126 142 172 208 220 226 238	-12644740036
SPT(14)	58519211194443751	0 30 48 52 70 82 90 100 108 120 138 142 160 190	-8537389066
TPT(12)	58519217688626087	0 2 30 32 54 56 180 182 222 224 264 266	-2043206730
SPT(14)	58519224854185723	0 28 40 66 88 90 108 196 214 216 238 264 276 304	5122352906
SPT(14)	58519227063848389	0 10 24 82 90 112 154 180 222 244 252 310 324 334	7332015572
TPT(12)	58519231373156117	0 2 12 14 54 56 90 92 102 104 114 116	11641323300
SPT(14)	58519233292356139	0 24 42 72 88 94 108 154 168 174 190 220 238 262	13560523322
TPT(12)	58519233495699167	0 2 42 44 90 92 102 104 144 146 162 164	13763866350