Prime p₀= 64166695716613577 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 124 2 10 2 10 2 154 2 (?)
a_n: 0 2 24 26 150 152 162 164 174 176 330 332
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: 332
Found by: emoga
db: batch=67, k=12, 22 124 10 10 154

SPT(16)	64166612390203691	0 12 26 32 60 98 102 162 176 236 240 278 306 312 326 338	-83326409886
SPT(14)	64166615407762291	0 12 46 72 78 106 142 186 222 250 256 282 316 328	-80308851286
SPT(14)	64166650010853757	0 6 12 42 64 76 96 100 120 132 154 184 190 196	-45705759820
SPT(14)	64166659504737553	0 24 40 46 54 58 70 84 96 100 108 114 130 154	-36211876024
SPT(14)	64166676301081513	0 34 60 64 70 78 84 130 136 144 150 154 180 214	-19415532064
SPT(14)	64166684855210209	0 28 34 42 52 54 72 220 238 240 250 258 264 292	-10861403368
SPT(14)	64166696647040891	0 8 18 30 36 56 60 98 102 122 128 140 150 158	930427314
SPT(14)	64166726427427097	0 24 42 84 90 102 104 180 182 194 200 242 260 284	30710813520
SPT(14)	64166740949501051	0 36 38 80 96 116 138 140 162 182 198 240 242 278	45232887474
SPT(16)	64166754249119563	0 10 54 96 100 108 156 174 220 238 286 294 298 340 384 394	58532505986
TPT(12)	64166760085114031	0 2 48 50 90 92 120 122 156 158 168 170	64368500454