Prime p₀= 4092722307202445957 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 30 18 12 30 24 24 30 12 18 30 36 (?)
a_n: 0 36 66 84 96 126 150 174 204 216 234 264 300
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: 300
Found by: [SG-2W]Kurzer
db: batch=84, k=13, 36 30 18 12 30 24

SPT(16)	4092719868383479283	0 14 18 74 104 140 150 164 174 188 198 234 264 320 324 338	-2438818966674
STPT(10)	4092720916068100649	0 2 12 14 90 92 168 170 180 182	-1391134345308
STPT(10)	4092721172578371017	0 2 24 26 42 44 60 62 84 86	-1134624074940
SPT(16)	4092721215747574573	0 48 94 100 114 148 190 196 198 204 246 280 294 300 346 394	-1091454871384
STPT(10)	4092722144653916087	0 2 30 32 72 74 114 116 144 146	-162548529870
SPT(16)	4092722156098588583	0 26 44 54 74 84 90 96 134 140 146 156 176 186 204 230	-151103857374
STPT(10)	4092723296424525941	0 2 6 8 48 50 90 92 96 98	989222079984
SPT(16)	4092723376258520261	0 20 26 48 86 90 98 122 156 180 188 192 230 252 258 278	1069056074304
SPT(16)	4092724112725618889	0 2 38 54 128 138 162 168 194 200 224 234 308 324 360 362	1805523172932
SPT(16)	4092724285126427833	0 24 58 64 100 124 138 150 154 166 180 204 240 246 280 304	1977923981876
SPT(13)	4092725038866683987	0 36 60 96 132 162 216 270 300 336 372 396 432	2731664238030