Prime p₀= 2123547195043456937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Chooka
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2123546954294258791	0 6 12 16 22 70 72 96 232 256 258 306 312 316 322 328	-240749198146
SPT(16)	2123546975664135481	0 22 42 66 70 102 232 250 342 360 490 522 526 550 570 592	-219379321456
STPT(10)	2123547085351166351	0 2 30 32 60 62 90 92 120 122	-109692290586
SPT(20)	2123547122124388379	0 2 12 38 72 110 144 150 158 168 224 234 242 248 282 320 354 380 390 392	-72919068558
STPT(10)	2123547137235823589	0 2 42 44 90 92 138 140 180 182	-57807633348
SPT(16)	2123547177635239669	0 10 18 48 82 84 112 130 132 150 178 180 214 244 252 262	-17408217268
STPT(10)	2123547269047831379	0 2 18 20 30 32 42 44 60 62	74004374442
SPT(16)	2123547427881454543	0 24 66 78 106 196 216 220 234 238 258 348 376 388 430 454	232837997606
STPT(10)	2123547639149512349	0 2 12 14 90 92 168 170 180 182	444106055412
SPT(16)	2123547708409591733	0 66 78 98 146 176 188 246 260 318 330 360 408 428 440 506	513366134796
STPT(10)	2123547752903647151	0 2 6 8 48 50 90 92 96 98	557860190214