Prime p₀= 2124596453728471249 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 24 42 18 10 14 22 44 22 14 10 18 42 24 24 (?)
a_n: 0 24 48 90 108 118 132 154 198 220 234 244 262 304 328 352
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: 352
Found by: Landjunge
db: batch=80, k=16, 24 24 42 18 10 14 22 44

SPT(16)	2124594907764092389	0 72 94 114 118 142 160 192 250 282 300 324 328 348 370 442	-1545964378860
STPT(10)	2124595096407845597	0 2 30 32 42 44 54 56 84 86	-1357320625652
SPT(16)	2124595195173081391	0 18 48 76 82 88 90 96 112 118 120 126 132 160 190 208	-1258555389858
STPT(10)	2124595525691465921	0 2 6 8 48 50 90 92 96 98	-928037005328
SPT(16)	2124595740455245901	0 18 20 32 48 60 62 72 86 96 98 110 126 138 140 158	-713273225348
SPT(16)	2124596179682747773	0 48 58 66 70 88 120 126 178 184 216 234 238 246 256 304	-274045723476
SPT(16)	2124596919653433923	0 48 66 96 98 120 150 158 168 176 206 228 230 260 278 326	465924962674
SPT(16)	2124597400723833757	0 12 60 82 96 106 166 184 192 210 270 280 294 316 364 376	946995362508
STPT(10)	2124597444748569611	0 2 6 8 18 20 30 32 36 38	991020098362
STPT(10)	2124597466587881447	0 2 30 32 42 44 54 56 84 86	1012859410198
TPT(14)	2124597686952960809	0 2 18 20 120 122 132 134 210 212 258 260 270 272	1233224489560