Prime p₀= 2037667881172264631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: Landjunge
db: batch=80, k=10, 2 106 2 28 2

SPT(16)	2037666323738704501	0 22 40 42 72 90 120 138 142 160 190 208 238 240 258 280	-1557433560130
STPT(12)	2037666580616593181	0 2 36 38 48 50 78 80 90 92 126 128	-1300555671450
STPT(10)	2037666617252786321	0 2 6 8 48 50 90 92 96 98	-1263919478310
SPT(16)	2037666952675865491	0 16 60 126 138 162 220 252 376 408 466 490 502 568 612 628	-928496399140
SPT(16)	2037667154719688189	0 8 12 42 54 68 78 80 162 164 174 188 200 230 234 242	-726452576442
SPT(16)	2037667578942434477	0 26 62 110 126 140 174 180 206 212 246 260 276 324 360 386	-302229830154
STPT(10)	2037668051633954561	0 2 6 8 48 50 90 92 96 98	170461689930
STPT(10)	2037668108798003291	0 2 36 38 78 80 120 122 156 158	227625738660
SPT(16)	2037668161305323377	0 64 90 102 106 172 190 204 262 276 294 360 364 376 402 466	280133058746
SPT(16)	2037668284543284773	0 6 44 50 98 134 156 168 176 188 210 246 294 300 338 344	403371020142
SPT(16)	2037668496866656879	0 12 24 40 52 82 112 120 154 162 192 222 234 250 262 274	615694392248