Prime p₀= 727253505911592419 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 48 30 12 48 6 30 30 6 48 12 30 48 (?)
a_n: 0 48 78 90 138 144 174 204 210 258 270 300 348
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 348
Found by: Theadalus
db: batch=73, k=13, 48 30 12 48 6 30

SPT(16)	727252800788424637	0 34 46 114 130 150 156 192 244 280 286 306 322 390 402 436	-705123167782
SPT(16)	727253010746096743	0 16 18 24 28 34 54 88 96 130 150 156 160 166 168 184	-495165495676
SPT(16)	727253225797350877	0 4 30 34 94 102 120 144 160 184 202 210 270 274 300 304	-280114241542
SPT(16)	727253236679272577	0 26 32 36 44 74 120 140 156 176 222 252 260 264 270 296	-269232319842
STPT(10)	727253326411793477	0 2 30 32 102 104 174 176 204 206	-179499798942
SPT(16)	727253366342628871	0 16 22 36 58 78 118 162 196 240 280 300 322 336 342 358	-139568963548
SPT(16)	727253565074585851	0 40 52 58 70 100 112 130 150 168 180 210 222 228 240 280	59162993432
STPT(10)	727254027609487907	0 2 42 44 72 74 102 104 144 146	521697895488
TPT(14)	727254035602434839	0 2 72 74 90 92 120 122 168 170 198 200 378 380	529690842420
STPT(10)	727254456558373649	0 2 42 44 90 92 138 140 180 182	950646781230
SPT(16)	727254565033881253	0 28 36 40 96 106 108 124 150 166 168 178 234 238 246 274	1059122288834