Prime p₀= 389708581220533327 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 76 48 8 54 4 20 76 20 4 54 8 48 76 (?)
a_n: 0 76 124 132 186 190 210 286 306 310 364 372 420 496
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 496
Found by: Cruncher Pete
db: batch=70, k=14, 76 48 8 54 4 20 76

SPT(14)	389708500502532931	0 12 48 88 90 132 180 208 256 298 300 340 376 388	-80718000396
SPT(16)	389708516331592021	0 76 88 100 120 126 160 172 186 198 232 238 258 270 282 358	-64888941306
SPT(14)	389708521401523579	0 22 118 120 192 208 210 232 234 250 322 324 420 442	-59819009748
SPT(14)	389708543691397361	0 12 62 72 90 116 132 140 156 182 200 210 260 272	-37529135966
SPT(14)	389708546634358201	0 40 48 52 90 136 148 150 162 208 246 250 258 298	-34586175126
SPT(14)	389708577478642321	0 28 70 72 100 118 130 198 210 228 256 258 300 328	-3741891006
SPT(14)	389708608766441719	0 30 94 132 172 178 184 228 234 240 280 318 382 412	27545908392
TPT(12)	389708625304581299	0 2 78 80 90 92 138 140 168 170 192 194	44084047972
SPT(16)	389708628211627061	0 2 8 72 86 110 116 138 140 162 168 192 206 270 276 278	46991093734
SPT(14)	389708644928245369	0 24 42 58 150 192 198 214 220 262 354 370 388 412	63707712042
SPT(14)	389708665513746641	0 30 72 86 96 108 126 182 200 212 222 236 278 308	84293213314