Prime p₀= 3031607104645451117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Alnitak2019
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	3031605208284539567	0 2 90 92 102 104 114 116 204 206	-1896360911550
SPT(16)	3031605319292476529	0 14 18 54 72 102 110 168 194 252 260 290 308 344 348 362	-1785352974588
STPT(10)	3031605490657024157	0 2 30 32 60 62 90 92 120 122	-1613988426960
SPT(16)	3031606356327967619	0 18 24 32 42 48 54 90 152 188 194 200 210 218 224 242	-748317483498
STPT(10)	3031606555860673409	0 2 12 14 90 92 168 170 180 182	-548784777708
SPT(16)	3031607088147413471	0 36 48 62 66 80 86 98 120 132 138 152 156 170 182 218	-16498037646
SPT(16)	3031607282884323103	0 10 16 48 76 90 174 198 316 340 424 438 466 498 504 514	178238871986
STPT(10)	3031607293020940607	0 2 30 32 42 44 54 56 84 86	188375489490
STPT(10)	3031608406904257907	0 2 24 26 42 44 60 62 84 86	1302258806790
SPT(16)	3031608912811089187	0 10 16 66 90 126 180 184 192 196 250 286 310 360 366 376	1808165638070
SPT(16)	3031609045295200631	0 20 50 60 78 86 92 122 126 156 162 170 188 198 228 248	1940649749514