Prime p₀= 2123547177635239669 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 8 30 34 2 28 18 2 18 28 2 34 30 8 10 (?)
a_n: 0 10 18 48 82 84 112 130 132 150 178 180 214 244 252 262
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 262
Found by: Chooka
db: batch=80, k=16, 10 8 30 34 2 28 18 2

STPT(10)	2123546772249041351	0 2 36 38 78 80 120 122 156 158	-405386198318
SPT(16)	2123546954294258791	0 6 12 16 22 70 72 96 232 256 258 306 312 316 322 328	-223340980878
SPT(16)	2123546975664135481	0 22 42 66 70 102 232 250 342 360 490 522 526 550 570 592	-201971104188
STPT(10)	2123547085351166351	0 2 30 32 60 62 90 92 120 122	-92284073318
SPT(20)	2123547122124388379	0 2 12 38 72 110 144 150 158 168 224 234 242 248 282 320 354 380 390 392	-55510851290
STPT(10)	2123547137235823589	0 2 42 44 90 92 138 140 180 182	-40399416080
STPT(10)	2123547195043456937	0 2 30 32 42 44 54 56 84 86	17408217268
STPT(10)	2123547269047831379	0 2 18 20 30 32 42 44 60 62	91412591710
SPT(16)	2123547427881454543	0 24 66 78 106 196 216 220 234 238 258 348 376 388 430 454	250246214874
STPT(10)	2123547639149512349	0 2 12 14 90 92 168 170 180 182	461514272680
SPT(16)	2123547708409591733	0 66 78 98 146 176 188 246 260 318 330 360 408 428 440 506	530774352064