Prime p₀= 68180538679823441 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 106 2 28 2 82 2 16 2 (?)
a_n: 0 2 18 20 126 128 156 158 240 242 258 260
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: scrap
db: batch=67, k=12, 16 106 28 82 16

SPT(14)	68180469927794227	0 22 54 64 70 124 132 142 150 204 210 220 252 274	-68752029214
SPT(14)	68180497913709427	0 4 16 30 46 60 94 156 190 204 220 234 246 250	-40766114014
SPT(14)	68180512180760599	0 34 42 54 72 114 124 198 208 250 268 280 288 322	-26499062842
SPT(14)	68180531635218001	0 30 82 112 138 142 150 160 168 172 198 228 280 310	-7044605440
SPT(16)	68180534185220519	0 54 80 108 152 168 170 174 188 192 194 210 254 282 308 362	-4494602922
SPT(14)	68180538424699531	0 6 52 102 106 136 160 162 186 216 220 270 316 322	-255123910
SPT(14)	68180546960841163	0 10 76 78 84 118 120 244 246 280 286 288 354 364	8281017722
SPT(14)	68180549782131383	0 20 48 80 108 150 186 230 266 308 336 368 396 416	11102307942
SPT(14)	68180563924892467	0 12 42 52 54 60 94 102 136 142 144 154 184 196	25245069026
SPT(14)	68180575234323977	0 6 20 32 36 42 62 90 110 116 120 132 146 152	36554500536
SPT(14)	68180582231791999	0 12 22 58 82 88 90 112 114 120 144 180 190 202	43551968558