Prime p₀= 2310306427694791943 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 22 48 20 52 44 16 8 16 44 52 20 48 22 14 (?)
a_n: 0 14 36 84 104 156 200 216 224 240 284 336 356 404 426 440
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: 440
Found by: FritzB
db: batch=81, k=16, 14 22 48 20 52 44 16 8

SPT(16)	2310305923411133311	0 88 96 108 112 118 160 192 196 228 270 276 280 292 300 388	-504283658632
STPT(10)	2310306029238762221	0 2 6 8 18 20 30 32 36 38	-398456029722
STPT(10)	2310306080666285729	0 2 18 20 30 32 42 44 60 62	-347028506214
TPT(14)	2310306100820773799	0 2 18 20 30 32 78 80 102 104 132 134 198 200	-326874018144
SPT(16)	2310306245607289519	0 22 42 72 142 148 168 174 178 184 204 210 280 310 330 352	-182087502424
SPT(16)	2310306336741284881	0 28 42 60 88 90 108 112 156 160 178 180 208 226 240 268	-90953507062
STPT(10)	2310306691294700627	0 2 12 14 42 44 72 74 84 86	263599908684
STPT(10)	2310306834514747049	0 2 42 44 60 62 78 80 120 122	406819955106
SPT(16)	2310306966109894753	0 4 16 60 70 114 144 190 270 316 346 390 400 444 456 460	538415102810
STPT(10)	2310307270091286281	0 2 6 8 48 50 90 92 96 98	842396494338
SPT(16)	2310307357045738943	0 6 14 18 60 90 98 116 198 216 224 254 296 300 308 314	929350947000