Prime p₀= 2040507063512141561 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 46 2 22 2 46 2 76 2 (?)
a_n: 0 2 78 80 126 128 150 152 198 200 276 278
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: 278
Found by: LeChat51X
db: batch=80, k=12, 2 76 2 46 2 22

STPT(10)	2040504320390533367	0 2 30 32 42 44 54 56 84 86	-2743121608194
STPT(12)	2040505044971175197	0 2 30 32 42 44 120 122 132 134 162 164	-2018540966364
SPT(16)	2040505295977772237	0 42 66 104 110 180 224 242 384 402 446 516 522 560 584 626	-1767534369324
TPT(14)	2040506135831919179	0 2 12 14 90 92 132 134 180 182 342 344 378 380	-927680222382
SPT(16)	2040506489704019453	0 98 168 176 186 198 218 228 278 288 308 320 330 338 408 506	-573808122108
SPT(16)	2040506717741006899	0 10 42 48 72 88 132 142 168 178 222 238 262 268 300 310	-345771134662
TPT(16)	2040507063512141561	0 2 78 80 126 128 150 152 198 200 276 278 330 332 336 338	0
SPT(16)	2040507201598539679	0 12 18 42 118 120 130 132 208 210 220 222 298 322 328 340	138086398118
STPT(10)	2040507213459819677	0 2 24 26 42 44 60 62 84 86	149947678116
STPT(10)	2040507252031327481	0 2 78 80 108 110 138 140 216 218	188519185920
STPT(10)	2040507440237614727	0 2 30 32 42 44 54 56 84 86	376725473166