Prime p₀= 1583074586714459393 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 8 10 30 50 16 44 6 4 6 26 6 4 6 44 16 50 30 10 8 (?)
a_n: 0 8 18 48 98 114 158 164 168 174 200 206 210 216 260 276 326 356 366 374
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: 374
Found by: crashtech
db: batch=78, k=20, 8 10 30 50 16 44 6 4 6 26

SPT(16)	1583074160076176333	0 20 30 44 60 90 96 174 290 368 374 404 420 434 444 464	-426638283060
SPT(16)	1583074226750495911	0 18 60 66 126 172 210 262 306 358 396 442 502 508 550 568	-359963963482
SPT(16)	1583074334012119187	0 26 30 42 50 72 134 140 156 162 224 246 254 266 270 296	-252702340206
STPT(10)	1583074428516887807	0 2 54 56 72 74 90 92 144 146	-158197571586
TPT(14)	1583074443560843159	0 2 78 80 168 170 210 212 300 302 318 320 372 374	-143153616234
SPT(16)	1583074473343848109	0 30 70 88 102 108 162 190 240 268 322 328 342 360 400 430	-113370611284
SPT(16)	1583074659615951839	0 12 30 42 72 80 110 168 182 240 270 278 308 320 338 350	72901492446
SPT(16)	1583074729594882567	0 10 24 82 84 114 124 142 162 180 190 220 222 280 294 304	142880423174
STPT(10)	1583074826206820699	0 2 18 20 30 32 42 44 60 62	239492361306
STPT(10)	1583074970858243477	0 2 24 26 42 44 60 62 84 86	384143784084
SPT(16)	1583075298783918041	0 26 60 126 128 152 168 170 198 200 216 240 242 308 342 368	712069458648