Prime p₀= 2551065721177523189 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: SEARCHER
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2551064530166054297	0 50 84 104 120 150 162 174 182 194 206 236 252 272 306 356	-1191011468892
TPT(14)	2551064747165643167	0 2 30 32 90 92 114 116 174 176 180 182 240 242	-974011880022
SPT(16)	2551064891907338399	0 32 38 102 140 152 162 180 230 248 258 270 308 372 378 410	-829270184790
STPT(10)	2551065214313183459	0 2 12 14 90 92 168 170 180 182	-506864339730
SPT(16)	2551065530347525781	0 50 56 116 192 200 218 228 230 240 258 266 342 402 408 458	-190829997408
SPT(16)	2551065720535456079	0 2 8 14 54 98 120 134 138 152 174 218 258 264 270 272	-642067110
STPT(10)	2551065823052972591	0 2 36 38 78 80 120 122 156 158	101875449402
STPT(10)	2551066132518268901	0 2 6 8 48 50 90 92 96 98	411340745712
STPT(10)	2551066393406218271	0 2 6 8 108 110 210 212 216 218	672228695082
STPT(10)	2551066727012217287	0 2 30 32 42 44 54 56 84 86	1005834694098
SPT(16)	2551066844890777963	0 28 40 60 66 94 136 154 210 228 270 298 304 324 336 364	1123713254774