Prime p₀= 1458778286733754807 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 72 18 30 12 18 12 12 18 12 30 18 72 (?)
a_n: 0 72 90 120 132 150 162 174 192 204 234 252 324
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: 324
Found by: [SG-2W]Kurzer
db: batch=78, k=13, 72 18 30 12 18 12

STPT(10)	1458776031207744647	0 2 30 32 72 74 114 116 144 146	-2255526010160
SPT(16)	1458776535424765663	0 10 18 40 46 58 60 66 100 106 108 120 126 148 156 166	-1751308989144
SPT(16)	1458777327971411729	0 24 42 54 98 140 158 164 198 204 222 264 308 320 338 362	-958762343078
SPT(16)	1458777436000914479	0 2 24 48 90 108 114 164 258 308 314 332 374 398 420 422	-850732840328
TPT(14)	1458777724139682509	0 2 90 92 120 122 162 164 192 194 252 254 258 260	-562594072298
SPT(16)	1458778005051931777	0 42 52 94 124 132 142 154 162 174 184 192 222 264 274 316	-281681823030
STPT(10)	1458778808774983877	0 2 24 26 42 44 60 62 84 86	522041229070
STPT(10)	1458778867718057087	0 2 42 44 72 74 102 104 144 146	580984302280
STPT(10)	1458779088927013697	0 2 30 32 42 44 54 56 84 86	802193258890
STPT(10)	1458779177271609629	0 2 42 44 60 62 78 80 120 122	890537854822
SPT(16)	1458779477207661023	0 6 30 60 74 114 116 150 164 198 200 240 254 284 308 314	1190473906216