Prime p₀= 296054332992767747 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 4 2 28 2 40 2 76 2 (?)
a_n: 0 2 24 26 30 32 60 62 102 104 180 182
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: 182
Found by: vaughan
db: batch=69, k=12, 22 4 28 40 76

SPT(14)	296054237555181163	0 16 34 58 64 70 126 178 234 240 246 270 288 304	-95437586584
SPT(14)	296054261107358059	0 48 54 64 82 124 174 418 468 510 528 538 544 592	-71885409688
SPT(14)	296054284071389609	0 38 44 62 78 80 90 122 132 134 150 168 174 212	-48921378138
SPT(14)	296054295145493399	0 30 42 54 60 72 102 110 140 152 158 170 182 212	-37847274348
SPT(14)	296054301037607681	0 2 6 8 18 30 86 162 218 230 240 242 246 248	-31955160066
SPT(14)	296054332909653289	0 60 72 88 90 132 138 214 220 262 264 280 292 352	-83114458
SPT(14)	296054351636037947	0 2 14 30 50 96 102 134 140 186 206 222 234 236	18643270200
SPT(14)	296054351834663923	0 18 36 48 54 90 114 130 154 190 196 208 226 244	18841896176
SPT(16)	296054360589470927	0 6 14 80 96 114 120 182 204 266 272 290 306 372 380 386	27596703180
SPT(16)	296054365066323911	0 32 42 62 78 110 120 138 230 248 258 290 306 326 336 368	32073556164
SPT(14)	296054371780335227	0 12 20 24 42 50 54 92 96 104 122 126 134 146	38787567480