Prime p₀= 2362559331223614137 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: Drago75
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2362557739621817239	0 12 24 42 64 78 94 108 124 138 154 168 190 208 220 232	-1591601796898
SPT(16)	2362557785066934197	0 30 56 72 86 92 134 140 156 162 204 210 224 240 266 296	-1546156679940
SPT(16)	2362558364548761469	0 10 24 60 72 84 90 94 150 154 160 172 184 220 234 244	-966674852668
SPT(16)	2362558582796959991	0 6 8 20 30 56 78 96 122 140 162 188 198 210 212 218	-748426654146
SPT(16)	2362558890806955541	0 22 82 88 136 150 192 208 210 226 268 282 330 336 396 418	-440416658596
SPT(16)	2362559047701099571	0 22 70 76 78 126 148 150 238 240 262 310 312 318 366 388	-283522514566
SPT(16)	2362559795347538669	0 32 38 60 78 80 122 152 168 198 240 242 260 282 288 320	464123924532
SPT(16)	2362560021738091271	0 42 78 122 222 260 266 270 308 312 318 356 456 500 536 578	690514477134
SPT(16)	2362560379886037103	0 54 84 94 100 114 126 136 138 148 160 174 180 190 220 274	1048662422966
STPT(10)	2362560469108416077	0 2 54 56 72 74 90 92 144 146	1137884801940
SPT(16)	2362560867824265359	0 20 42 44 72 98 164 174 188 198 264 290 318 320 342 362	1536600651222