Prime p₀= 1904607022290130799 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: Landjunge
db: batch=80, k=12, 2 10 2 28 2 16

SPT(16)	1904605365000662011	0 6 30 76 90 100 136 172 216 252 288 298 312 358 382 388	-1657289468788
STPT(10)	1904605429804929779	0 2 12 14 90 92 168 170 180 182	-1592485201020
SPT(16)	1904605903919971631	0 18 36 60 66 86 108 156 170 218 240 260 266 290 308 326	-1118370159168
STPT(10)	1904606323954921289	0 2 42 44 150 152 258 260 300 302	-698335209510
TPT(14)	1904606427784551311	0 2 18 20 78 80 120 122 186 188 210 212 216 218	-594505579488
SPT(16)	1904606461190792839	0 22 34 42 58 72 90 102 130 142 160 174 190 198 210 232	-561099337960
STPT(10)	1904607258742763171	0 2 36 38 78 80 120 122 156 158	236452632372
STPT(10)	1904607407992373657	0 2 24 26 42 44 60 62 84 86	385702242858
STPT(10)	1904607627853421717	0 2 30 32 72 74 114 116 144 146	605563290918
SPT(16)	1904607745085646187	0 72 100 124 132 142 144 160 234 250 252 262 270 294 322 394	722795515388
TPT(14)	1904608718630294267	0 2 90 92 132 134 192 194 294 296 420 422 552 554	1696340163468