Prime p₀= 2069576815314111709 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 36 54 32 10 8 6 76 6 8 10 32 54 36 22 (?)
a_n: 0 22 58 112 144 154 162 168 244 250 258 268 300 354 390 412
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: 412
Found by: Landjunge
db: batch=80, k=16, 22 36 54 32 10 8 6 76

SPT(16)	2069575769338819597	0 4 22 36 84 94 114 120 136 142 162 172 220 234 252 256	-1045975292112
SPT(16)	2069576146562279801	0 20 32 80 90 102 110 116 132 138 146 158 168 216 228 248	-668751831908
STPT(10)	2069576170165818929	0 2 18 20 30 32 42 44 60 62	-645148292780
STPT(10)	2069576412458489687	0 2 30 32 42 44 54 56 84 86	-402855622022
TPT(14)	2069576527816025729	0 2 48 50 90 92 198 200 210 212 270 272 378 380	-287498085980
STPT(10)	2069576720308297001	0 2 6 8 48 50 90 92 96 98	-95005814708
SPT(16)	2069576837684708831	0 12 26 42 78 90 146 152 156 162 218 230 266 282 296 308	22370597122
STPT(10)	2069577475704534581	0 2 30 32 78 80 126 128 156 158	660390422872
SPT(16)	2069577688768335401	0 56 78 102 108 126 132 248 330 446 452 470 476 500 522 578	873454223692
STPT(10)	2069578321742418167	0 2 90 92 102 104 114 116 204 206	1506428306458
TPT(16)	2069578450254986189	0 2 72 74 78 80 180 182 192 194 288 290 330 332 390 392	1634940874480