Prime p₀= 579158829627896561 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 70 2 28 2 70 2 4 2 (?)
a_n: 0 2 66 68 138 140 168 170 240 242 246 248
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: 248
Found by: samuraiii
db: batch=71, k=12, 64 70 28 70 4

SPT(14)	579158790678195391	0 30 42 126 186 208 222 226 240 262 322 406 418 448	-38949701170
SPT(14)	579158809349582801	0 8 30 36 42 48 50 78 80 86 92 98 120 128	-20278313760
SPT(14)	579158815282885969	0 24 42 48 52 54 84 88 118 120 124 130 148 172	-14345010592
SPT(14)	579158820680189273	0 18 30 38 80 98 110 156 168 186 228 236 248 266	-8947707288
SPT(14)	579158821941277463	0 18 20 90 114 120 138 176 194 200 224 294 296 314	-7686619098
SPT(14)	579158825150842327	0 24 100 102 150 154 184 222 252 256 304 306 382 406	-4477054234
SPT(14)	579158834129093341	0 40 60 76 82 90 96 112 118 126 132 148 168 208	4501196780
TPT(12)	579158860211424287	0 2 12 14 132 134 252 254 300 302 312 314	30583527726
SPT(14)	579158913796836179	0 30 32 42 114 122 140 144 162 170 242 252 254 284	84168939618
SPT(14)	579158913872858743	0 6 120 130 138 160 168 208 216 238 246 256 370 376	84244962182
TPT(12)	579158924833458647	0 2 60 62 72 74 144 146 150 152 240 242	95205562086