Prime p₀= 2110489492480588559 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 88 2 4 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 138 140 228 230 270 272
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: 272
Found by: Landjunge
db: batch=80, k=12, 2 40 2 88 2 4

SPT(16)	2110486992142079893	0 4 28 66 94 96 118 184 210 276 298 300 328 366 390 394	-2500338508666
STPT(10)	2110487271425111567	0 2 30 32 102 104 174 176 204 206	-2221055476992
SPT(16)	2110487350758336089	0 2 24 38 42 44 60 68 114 122 138 140 144 158 180 182	-2141722252470
STPT(10)	2110488375090059519	0 2 42 44 60 62 78 80 120 122	-1117390529040
SPT(16)	2110488987865104323	0 8 38 114 120 140 144 158 336 350 354 374 380 456 486 494	-504615484236
SPT(16)	2110489410332157947	0 2 36 44 66 80 96 102 134 140 156 170 192 200 234 236	-82148430612
SPT(16)	2110490118428952067	0 34 40 54 100 120 124 156 244 276 280 300 346 360 366 400	625948363508
TPT(14)	2110490509480463477	0 2 24 26 90 92 162 164 174 176 180 182 204 206	1016999874918
STPT(10)	2110490553389209931	0 2 30 32 60 62 90 92 120 122	1060908621372
STPT(10)	2110490562970024757	0 2 30 32 42 44 54 56 84 86	1070489436198
SPT(16)	2110491183009228757	0 36 52 66 112 124 136 166 180 210 222 234 280 294 310 346	1690528640198