Prime p₀= 3031608406904257907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Alnitak2019
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3031606356327967619	0 18 24 32 42 48 54 90 152 188 194 200 210 218 224 242	-2050576290288
STPT(10)	3031606555860673409	0 2 12 14 90 92 168 170 180 182	-1851043584498
SPT(16)	3031607088147413471	0 36 48 62 66 80 86 98 120 132 138 152 156 170 182 218	-1318756844436
STPT(10)	3031607104645451117	0 2 30 32 60 62 90 92 120 122	-1302258806790
SPT(16)	3031607282884323103	0 10 16 48 76 90 174 198 316 340 424 438 466 498 504 514	-1124019934804
STPT(10)	3031607293020940607	0 2 30 32 42 44 54 56 84 86	-1113883317300
SPT(16)	3031608912811089187	0 10 16 66 90 126 180 184 192 196 250 286 310 360 366 376	505906831280
SPT(16)	3031609045295200631	0 20 50 60 78 86 92 122 126 156 162 170 188 198 228 248	638390942724
SPT(16)	3031609397237891593	0 48 70 76 84 160 168 180 244 256 264 340 348 354 376 424	990333633686
SPT(16)	3031609506455686477	0 6 10 132 144 150 172 202 294 324 346 352 364 486 490 496	1099551428570
SPT(20)	3031609540876417337	0 6 42 50 56 74 96 132 146 176 180 210 224 260 282 300 306 314 350 356	1133972159430