Prime p₀= 164831752738498607 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 58 2 34 2 40 2 70 2 (?)
a_n: 0 2 54 56 114 116 150 152 192 194 264 266
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: 266
Found by: ChelseaOilman
db: batch=67, k=12, 52 58 34 40 70

SPT(14)	164831613712059479	0 14 30 50 54 128 188 204 264 338 342 362 378 392	-139026439128
SPT(14)	164831670288616999	0 12 54 82 94 114 120 154 160 180 192 220 262 274	-82449881608
SPT(14)	164831674164764923	0 10 24 40 54 66 114 136 184 196 210 226 240 250	-78573733684
SPT(14)	164831709966375757	0 30 42 54 64 82 96 130 144 162 172 184 196 226	-42772122850
SPT(14)	164831750968012757	0 32 56 72 116 126 180 272 326 336 380 396 420 452	-1770485850
TPT(12)	164831752339211987	0 2 30 32 84 86 204 206 234 236 240 242	-399286620
SPT(14)	164831755209123953	0 14 38 68 80 84 98 126 140 144 156 186 210 224	2470625346
SPT(14)	164831780177740411	0 28 36 40 46 72 82 126 136 162 168 172 180 208	27439241804
SPT(14)	164831794437703091	0 2 12 26 86 98 150 158 210 222 282 296 306 308	41699204484
SPT(14)	164831796566062063	0 28 106 118 130 138 144 190 196 204 216 228 306 334	43827563456
SPT(14)	164831799791329331	0 62 72 86 90 126 138 140 152 188 192 206 216 278	47052830724