Prime p₀= 124532873949872369 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 58 2 16 2 10 2 34 2 (?)
a_n: 0 2 42 44 102 104 120 122 132 134 168 170
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: Alez
db: batch=67, k=12, 40 58 16 10 34

SPT(14)	124532815537327387	0 22 24 40 42 64 72 94 102 124 126 142 144 166	-58412544982
SPT(14)	124532816532927193	0 10 24 30 34 178 196 198 216 360 364 370 384 394	-57416945176
SPT(14)	124532817470283283	0 36 48 54 64 76 90 154 168 180 190 196 208 244	-56479589086
SPT(14)	124532844862312109	0 42 104 138 144 174 188 264 278 308 314 348 410 452	-29087560260
SPT(14)	124532845280948497	0 22 70 72 82 84 106 120 142 144 154 156 204 226	-28668923872
TPT(12)	124532857978393547	0 2 42 44 90 92 102 104 132 134 210 212	-15971478822
SPT(14)	124532875697172287	0 20 36 42 74 80 102 104 126 132 164 170 186 206	1747299918
SPT(14)	124532884253642569	0 4 28 40 42 70 82 90 102 130 132 144 168 172	10303770200
SPT(14)	124532908363988963	0 18 38 60 66 98 150 164 216 248 254 276 296 314	34414116594
SPT(14)	124532908634435969	0 20 38 42 92 128 132 170 174 210 260 264 282 302	34684563600
SPT(14)	124532916532061039	0 14 30 32 38 60 98 144 182 204 210 212 228 242	42582188670