Prime p₀= 2315887126749566129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: Landjunge
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2315885814493249301	0 2 30 50 62 72 102 116 132 146 176 186 198 218 246 248	-1312256316828
SPT(16)	2315885945876160187	0 10 52 70 90 96 162 166 300 304 370 376 396 414 456 466	-1180873405942
TPT(14)	2315886051818643671	0 2 66 68 78 80 96 98 108 110 120 122 210 212	-1074930922458
SPT(16)	2315886062718040157	0 44 66 80 104 132 144 174 182 212 224 252 276 290 312 356	-1064031525972
STPT(10)	2315886540113580491	0 2 36 38 78 80 120 122 156 158	-586635985638
STPT(10)	2315886761407146839	0 2 18 20 30 32 42 44 60 62	-365342419290
TPT(14)	2315888267699255477	0 2 72 74 90 92 114 116 222 224 282 284 312 314	1140949689348
STPT(10)	2315888381244972629	0 2 18 20 30 32 42 44 60 62	1254495406500
STPT(10)	2315888482898315201	0 2 30 32 60 62 90 92 120 122	1356148749072
SPT(16)	2315888519105240809	0 10 34 42 72 114 118 130 132 144 148 190 220 228 252 262	1392355674680
STPT(10)	2315888589882936659	0 2 42 44 90 92 138 140 180 182	1463133370530