Prime p₀= 78810127817711 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 28 2 40 2 16 2 22 2 (?)
a_n: 0 2 6 8 36 38 78 80 96 98 120 122
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: 122
Found by: amargo133
db: batch=60, k=12, 4 28 40 16 22

SPT(14)	78794768071519	0 12 40 54 70 84 108 154 178 192 208 222 250 262	-15359746192
TPT(12)	78794900066081	0 2 36 38 66 68 78 80 90 92 138 140	-15227751630
SPT(14)	78796161472661	0 2 26 72 90 110 128 150 168 188 206 252 276 278	-13966345050
SPT(14)	78798656520461	0 8 20 42 48 50 62 66 78 80 86 108 120 128	-11471297250
SPT(14)	78802486679149	0 4 10 24 30 72 94 120 142 184 190 204 210 214	-7641138562
SPT(14)	78805841832533	0 6 8 30 48 134 158 186 210 296 314 336 338 344	-4285985178
SPT(14)	78814642505359	0 10 48 60 70 78 88 150 160 168 178 190 228 238	4514687648
SPT(14)	78815882397841	0 12 18 36 42 66 72 136 142 166 172 190 196 208	5754580130
TPT(12)	78824316205931	0 2 6 8 30 32 36 38 48 50 90 92	14188388220
SPT(14)	78828589610759	0 30 62 80 120 140 158 174 192 212 252 270 302 332	18461793048
SPT(14)	78832525838971	0 6 28 46 60 76 88 108 120 136 150 168 190 196	22398021260