Prime p₀= 78078374031667811 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 10 2 178 2 40 2 16 2 (?)
a_n: 0 2 6 8 18 20 198 200 240 242 258 260
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: 260
Found by: RFGuy_KCCO
db: batch=67, k=12, 4 10 178 40 16

SPT(14)	78078351887003771	0 8 20 30 42 92 120 128 156 206 218 228 240 248	-22144664040
SPT(14)	78078358731874717	0 40 52 90 102 112 130 132 150 160 172 210 222 262	-15299793094
SPT(14)	78078363557842589	0 2 8 14 30 84 104 198 218 272 288 294 300 302	-10473825222
SPT(14)	78078364921022149	0 10 22 28 54 192 210 232 250 388 414 420 432 442	-9110645662
STPT(10)	78078368969985479	0 2 18 20 30 32 42 44 60 62	-5061682332
SPT(16)	78078372087513349	0 4 10 48 82 88 168 172 180 184 264 270 304 342 348 352	-1944154462
TPT(12)	78078375305248229	0 2 30 32 60 62 90 92 162 164 168 170	1273580418
SPT(14)	78078393512315993	0 18 56 68 96 108 140 156 188 200 228 240 278 296	19480648182
TPT(12)	78078401807937149	0 2 48 50 90 92 150 152 168 170 180 182	27776269338
SPT(14)	78078413132689199	0 84 90 98 158 164 198 200 234 240 300 308 314 398	39101021388
TPT(12)	78078414065716637	0 2 24 26 102 104 144 146 150 152 234 236	40034048826