Prime p₀= 2004267769119891937 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 18 56 82 14 24 4 38 4 24 14 82 56 18 16 (?)
a_n: 0 16 34 90 172 186 210 214 252 256 280 294 376 432 450 466
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: 466
Found by: JonS
db: batch=80, k=16, 16 18 56 82 14 24 4 38

SPT(16)	2004266955113544167	0 26 30 54 96 116 140 144 182 186 210 230 272 296 300 326	-814006347770
TPT(14)	2004267130474655591	0 2 96 98 138 140 150 152 198 200 210 212 228 230	-638645236346
SPT(16)	2004267194240108341	0 40 60 78 112 118 136 148 150 162 180 186 220 238 258 298	-574879783596
SPT(16)	2004267384772439153	0 30 38 50 80 86 90 170 174 254 258 264 294 306 314 344	-384347452784
STPT(10)	2004267397584295157	0 2 12 14 42 44 72 74 84 86	-371535596780
SPT(16)	2004267762755896999	0 18 54 58 72 84 88 142 210 264 268 280 294 298 334 352	-6363994938
SPT(18)	2004268552333970821	0 6 42 66 106 118 120 136 138 220 222 238 240 252 292 316 352 358	783214078884
SPT(16)	2004268682391073253	0 8 18 60 74 78 116 126 128 138 176 180 194 236 246 254	913271181316
SPT(16)	2004268683102365767	0 22 120 192 216 222 246 252 274 280 304 310 334 406 504 526	913982473830
STPT(10)	2004268795246262957	0 2 24 26 42 44 60 62 84 86	1026126371020
SPT(16)	2004269014067560057	0 4 24 42 52 60 70 72 112 114 124 132 142 160 180 184	1244947668120