Prime p₀= 2354942351810084021 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 56 24 28 8 4 6 26 6 4 8 28 24 56 30 (?)
a_n: 0 30 86 110 138 146 150 156 182 188 192 200 228 252 308 338
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: 338
Found by: Landjunge
db: batch=81, k=16, 30 56 24 28 8 4 6 26

STPT(10)	2354940719644195019	0 2 30 32 120 122 210 212 240 242	-1632165889002
SPT(16)	2354941118289450181	0 40 112 130 166 178 208 210 238 240 270 282 318 336 408 448	-1233520633840
SPT(16)	2354941225155816281	0 20 56 62 92 132 140 150 158 168 176 216 246 252 288 308	-1126654267740
SPT(16)	2354941960604478587	0 14 62 86 110 150 192 240 266 314 356 396 420 444 492 506	-391205605434
SPT(16)	2354942163843899629	0 30 42 58 60 94 138 154 168 184 228 262 264 280 292 322	-187966184392
STPT(10)	2354942252199736007	0 2 30 32 42 44 54 56 84 86	-99610348014
STPT(10)	2354942384266508789	0 2 18 20 30 32 42 44 60 62	32456424768
STPT(10)	2354943038762901029	0 2 18 20 60 62 102 104 120 122	686952817008
SPT(16)	2354943110047949711	0 6 20 26 72 86 90 108 170 188 192 206 252 258 272 278	758237865690
SPT(16)	2354943406456833721	0 36 40 78 138 168 198 240 256 298 328 358 418 456 460 496	1054646749700
SPT(16)	2354943409022871587	0 12 26 62 84 92 96 114 152 170 174 182 204 240 254 266	1057212787566