Prime p₀= 3173876460853177999 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 78 34 30 6 30 12 2 18 22 8 22 18 2 12 30 6 30 34 78 (?)
a_n: 0 78 112 142 148 178 190 192 210 232 240 262 280 282 294 324 330 360 394 472
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 472
Found by: herby44
db: batch=83, k=20, 78 34 30 6 30 12 2 18 22 8

SPT(16)	3173873238178856777	0 12 42 104 134 152 204 210 224 230 282 300 330 392 422 434	-3222674321222
SPT(16)	3173873703456885791	0 50 60 90 138 152 168 176 192 200 216 230 278 308 318 368	-2757396292208
SPT(16)	3173874579247444399	0 22 40 52 120 148 162 192 220 250 264 292 360 372 390 412	-1881605733600
SPT(16)	3173874755092615037	0 32 72 84 102 122 126 156 170 200 204 224 242 254 294 326	-1705760562962
SPT(16)	3173874917303269549	0 12 30 42 88 100 108 160 192 244 252 264 310 322 340 352	-1543549908450
SPT(16)	3173875338056043199	0 10 12 18 22 138 144 210 232 298 304 420 424 430 432 442	-1122797134800
TPT(14)	3173876733950422811	0 2 36 38 78 80 150 152 216 218 288 290 330 332	273097244812
STPT(12)	3173876733950422847	0 2 42 44 114 116 180 182 252 254 294 296	273097244848
STPT(10)	3173876873637020609	0 2 42 44 60 62 78 80 120 122	412783842610
STPT(10)	3173876964891053297	0 2 30 32 60 62 90 92 120 122	504037875298
SPT(16)	3173876980806819101	0 20 62 86 110 140 146 152 156 162 168 198 222 246 288 308	519953641102