Prime p₀= 2301727198123166483 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 10 18 12 2 40 32 34 32 40 2 12 18 10 26 (?)
a_n: 0 26 36 54 66 68 108 140 174 206 246 248 260 278 288 314
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: 314
Found by: Landjunge
db: batch=81, k=16, 26 10 18 12 2 40 32 34

SPT(16)	2301726353519391551	0 30 90 102 110 180 200 216 236 252 272 342 350 362 422 452	-844603774932
SPT(16)	2301726357561700943	0 14 30 60 74 86 98 108 146 156 168 180 194 224 240 254	-840561465540
SPT(16)	2301726765858409991	0 56 98 110 132 150 168 188 210 230 248 266 288 300 342 398	-432264756492
SPT(16)	2301726940215586607	0 6 20 54 140 152 174 176 180 182 204 216 302 336 350 356	-257907579876
TPT(14)	2301726980682766319	0 2 12 14 18 20 48 50 60 62 138 140 180 182	-217440400164
STPT(10)	2301727007370662759	0 2 18 20 30 32 42 44 60 62	-190752503724
SPT(16)	2301727914599827969	0 30 34 48 54 84 114 154 168 208 238 268 274 288 292 322	716476661486
SPT(16)	2301729022373781421	0 22 40 42 66 78 88 100 108 120 130 142 166 168 186 208	1824250614938
STPT(10)	2301729359783797079	0 2 42 44 90 92 138 140 180 182	2161660630596
STPT(10)	2301729473504171057	0 2 12 14 42 44 72 74 84 86	2275381004574
SPT(16)	2301729527954406101	0 26 30 60 110 168 170 180 188 198 200 258 308 338 342 368	2329831239618