Prime p₀= 2259443180878857559 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 14 4 26 34 14 22 14 22 14 34 26 4 14 10 (?)
a_n: 0 10 24 28 54 88 102 124 138 160 174 208 234 238 252 262
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: 262
Found by: Euphoriabuzz
db: batch=81, k=16, 10 14 4 26 34 14 22 14

SPT(16)	2259442230430821367	0 10 12 22 42 54 64 84 220 240 250 262 282 292 294 304	-950448036192
SPT(16)	2259442254964566713	0 6 20 38 44 84 98 104 210 216 230 270 276 294 308 314	-925914290846
SPT(16)	2259442370303087887	0 22 40 102 124 126 136 144 172 180 190 192 214 276 294 316	-810575769672
STPT(10)	2259442622854774109	0 2 18 20 30 32 42 44 60 62	-558024083450
STPT(10)	2259442880358957479	0 2 18 20 30 32 42 44 60 62	-300519900080
TPT(14)	2259443083663857941	0 2 36 38 66 68 78 80 90 92 126 128 246 248	-97214999618
SPT(16)	2259443308062425501	0 8 18 32 48 122 132 150 158 176 186 260 276 290 300 308	127183567942
SPT(16)	2259443362101333887	0 6 30 44 66 150 212 222 224 234 296 380 402 416 440 446	181222476328
SPT(16)	2259443492731869077	0 62 96 104 110 132 144 156 170 182 194 216 222 230 264 326	311853011518
SPT(16)	2259443766365595133	0 24 34 60 76 126 136 154 210 228 238 288 304 330 340 364	585486737574
STPT(10)	2259443873634800297	0 2 30 32 42 44 54 56 84 86	692755942738