Prime p₀= 1081635233975493809 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 76 2 10 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 132 134 210 212 252 254
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: 254
Found by: arkiss
db: batch=76, k=12, 2 40 2 76 2 10

SPT(16)	1081633640960753081	0 6 48 56 80 102 138 158 210 230 266 288 312 320 362 368	-1593014740728
SPT(16)	1081634519050271773	0 10 30 88 96 114 130 168 196 234 250 268 276 334 354 364	-714925222036
SPT(16)	1081634735928050027	0 42 50 104 120 162 164 170 174 180 182 224 240 294 302 344	-498047443782
STPT(10)	1081634826822559151	0 2 6 8 18 20 30 32 36 38	-407152934658
SPT(16)	1081634978292203893	0 10 18 24 94 136 148 154 270 276 288 330 400 406 414 424	-255683289916
SPT(16)	1081634978996208149	0 2 42 44 50 78 80 84 128 132 134 162 168 170 210 212	-254979285660
STPT(10)	1081635432887213819	0 2 18 20 30 32 42 44 60 62	198911720010
STPT(10)	1081635447631228541	0 2 6 8 18 20 30 32 36 38	213655734732
SPT(16)	1081635516824447359	0 48 64 78 102 108 120 144 178 202 214 220 244 258 274 322	282848953550
SPT(16)	1081635561515131747	0 10 46 90 102 106 112 124 132 144 150 154 166 210 246 256	327539637938
STPT(10)	1081635588786826889	0 2 12 14 30 32 48 50 60 62	354811333080