Prime p₀= 2451017599678814813 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 36 6 28 26 10 20 4 20 10 26 28 6 36 44 (?)
a_n: 0 44 80 86 114 140 150 170 174 194 204 230 258 264 300 344
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: 344
Found by: JayPi
db: batch=82, k=16, 44 36 6 28 26 10 20 4

SPT(16)	2451016611286296941	0 18 56 90 108 116 210 222 236 248 342 350 368 402 440 458	-988392517872
SPT(16)	2451016743987819823	0 18 30 36 40 46 78 88 96 106 138 144 148 154 166 184	-855690994990
SPT(16)	2451016843680684101	0 30 32 42 78 102 110 170 210 270 278 302 338 348 350 380	-755998130712
SPT(16)	2451016922289755669	0 14 48 54 72 80 108 114 188 194 222 230 248 254 288 302	-677389059144
SPT(16)	2451017387680705979	0 14 24 62 78 80 84 134 198 248 252 254 270 308 318 332	-211998108834
SPT(16)	2451017556891308269	0 54 60 72 118 124 144 172 210 238 258 264 310 322 328 382	-42787506544
SPT(16)	2451017690594986333	0 28 64 90 106 120 126 144 160 178 184 198 214 240 276 304	90916171520
STPT(10)	2451017733256633817	0 2 84 86 132 134 180 182 264 266	133577819004
TPT(14)	2451018327571744757	0 2 12 14 54 56 180 182 192 194 210 212 234 236	727892929944
STPT(10)	2451018763518941687	0 2 30 32 42 44 54 56 84 86	1163840126874
SPT(16)	2451019403141738069	0 62 110 114 194 200 224 240 284 300 324 330 410 414 462 524	1803462923256