Prime p₀= 2523332876357533367 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 90 36 30 24 18 18 24 30 36 90 24 (?)
a_n: 0 24 114 150 180 204 222 240 264 294 330 420 444
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: 444
Found by: RFGuy_KCCO
db: batch=82, k=13, 24 90 36 30 24 18

SPT(13)	2523331432351985999	0 18 60 78 102 168 210 252 318 342 360 402 420	-1444005547368
STPT(10)	2523331755428807357	0 2 60 62 72 74 84 86 144 146	-1120928726010
TPT(14)	2523331777935330077	0 2 72 74 144 146 240 242 300 302 342 344 354 356	-1098422203290
SPT(16)	2523331854563158129	0 10 12 52 72 88 102 142 150 190 204 220 240 280 282 292	-1021794375238
STPT(10)	2523331905708906077	0 2 30 32 60 62 90 92 120 122	-970648627290
TPT(14)	2523332561498433077	0 2 30 32 72 74 204 206 222 224 252 254 264 266	-314859100290
SPT(16)	2523332937267714983	0 50 56 66 108 126 138 140 144 146 158 176 218 228 234 284	60910181616
TPT(14)	2523333529314491849	0 2 48 50 168 170 180 182 228 230 258 260 282 284	652956958482
STPT(10)	2523333750804415499	0 2 18 20 30 32 42 44 60 62	874446882132
STPT(10)	2523334064186038457	0 2 54 56 72 74 90 92 144 146	1187828505090
TPT(14)	2523334226636435711	0 2 30 32 36 38 78 80 90 92 198 200 228 230	1350278902344