Prime p₀= 2072867496154268309 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 46 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 108 110 150 152 168 170
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: 170
Found by: Landjunge
db: batch=80, k=12, 2 16 2 40 2 46

STPT(12)	2072866545730424861	0 2 18 20 60 62 96 98 138 140 156 158	-950423843448
STPT(10)	2072866557035969711	0 2 30 32 78 80 126 128 156 158	-939118298598
STPT(10)	2072866764935250761	0 2 36 38 78 80 120 122 156 158	-731219017548
SPT(16)	2072866868925326633	0 20 24 56 60 96 120 134 150 164 188 224 228 260 264 284	-627228941676
STPT(10)	2072867072603864891	0 2 6 8 48 50 90 92 96 98	-423550403418
TPT(14)	2072867442106123211	0 2 48 50 66 68 90 92 96 98 126 128 168 170	-54048145098
SPT(16)	2072867517297319921	0 6 10 12 90 136 156 168 190 202 222 268 346 348 352 358	21143051612
SPT(16)	2072867863251955547	0 30 50 92 110 122 164 182 222 240 282 294 312 354 374 404	367097687238
SPT(16)	2072867915034373243	0 34 108 154 174 180 184 198 220 234 238 244 264 310 384 418	418880104934
STPT(10)	2072868099513461267	0 2 90 92 132 134 174 176 264 266	603359192958
STPT(10)	2072868208537949489	0 2 42 44 60 62 78 80 120 122	712383681180