Prime p₀= 577773221622491897 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 10 2 16 2 52 2 16 2 (?)
a_n: 0 2 60 62 72 74 90 92 144 146 162 164
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: 164
Found by: marmot
db: batch=71, k=12, 58 10 16 52 16

SPT(14)	577773160323996817	0 6 52 70 90 112 120 136 144 166 186 204 250 256	-61298495080
SPT(14)	577773177919849123	0 34 58 88 148 150 174 214 238 240 300 330 354 388	-43702642774
SPT(16)	577773182809680307	0 10 36 46 60 126 142 160 186 204 220 286 300 310 336 346	-38812811590
SPT(14)	577773195591112201	0 18 36 70 90 102 118 120 136 148 168 202 220 238	-26031379696
SPT(14)	577773200345283947	0 54 60 72 134 156 174 182 200 222 284 296 302 356	-21277207950
SPT(14)	577773208200190819	0 42 64 108 144 148 154 168 174 178 214 258 280 322	-13422301078
SPT(14)	577773252922906763	0 24 74 90 126 128 144 170 186 188 224 240 290 314	31300414866
TPT(12)	577773270244928141	0 2 18 20 150 152 168 170 228 230 306 308	48622436244
SPT(14)	577773275246050291	0 16 22 42 58 130 136 162 168 240 256 276 282 298	53623558394
SPT(14)	577773282594655187	0 6 36 54 120 126 204 236 314 320 386 404 434 440	60972163290
SPT(16)	577773305078592823	0 16 40 48 54 78 114 160 204 250 286 310 316 324 348 364	83456100926