Prime p₀= 2267571020313321257 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 64 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 120 122 132 134 174 176
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: 176
Found by: JayPi
db: batch=81, k=12, 2 40 2 10 2 64

TPT(14)	2267569472697081599	0 2 60 62 90 92 168 170 228 230 258 260 270 272	-1547616239658
SPT(16)	2267569838258267369	0 8 30 50 54 60 98 128 234 264 302 308 312 332 354 362	-1182055053888
SPT(16)	2267569902102674567	0 24 66 74 80 102 110 140 156 186 194 216 222 230 272 296	-1118210646690
SPT(16)	2267570302892806669	0 18 24 42 64 112 114 120 142 148 150 198 220 238 244 262	-717420514588
STPT(10)	2267570985749927717	0 2 30 32 72 74 114 116 144 146	-34563393540
SPT(16)	2267571009387836921	0 42 48 68 80 108 140 192 266 318 350 378 390 410 416 458	-10925484336
SPT(16)	2267571374642996887	0 12 36 40 106 112 114 154 192 232 234 240 306 310 334 346	354329675630
SPT(16)	2267571563759342033	0 8 14 56 74 98 114 116 138 140 156 180 198 240 246 254	543446020776
SPT(16)	2267571698657144983	0 28 64 78 120 124 160 168 250 258 294 298 340 354 390 418	678343823726
STPT(10)	2267572424490087887	0 2 30 32 42 44 54 56 84 86	1404176766630
STPT(10)	2267573245668702869	0 2 18 20 30 32 42 44 60 62	2225355381612