Prime p₀= 2109601786926124823 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 24 120 36 6 24 24 6 36 120 24 24 (?)
a_n: 0 24 48 168 204 210 234 258 264 300 420 444 468
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: 468
Found by: Landjunge
db: batch=80, k=13, 24 24 120 36 6 24

SPT(16)	2109600220881909013	0 16 24 30 58 76 88 100 144 156 168 186 214 220 228 244	-1566044215810
SPT(16)	2109600543281691563	0 20 54 96 108 126 140 180 314 354 368 386 398 440 474 494	-1243644433260
SPT(16)	2109601220199990767	0 12 50 60 104 126 144 152 174 182 200 222 266 276 314 326	-566726134056
SPT(16)	2109601307532880669	0 4 22 28 54 60 84 144 148 208 232 238 264 270 288 292	-479393244154
TPT(14)	2109601327280665259	0 2 30 32 42 44 60 62 192 194 222 224 228 230	-459645459564
STPT(12)	2109601706447622719	0 2 78 80 90 92 120 122 132 134 210 212	-80478502104
STPT(10)	2109601940125728077	0 2 12 14 42 44 72 74 84 86	153199603254
SPT(16)	2109601972888156807	0 30 40 42 90 100 120 124 162 166 186 196 244 246 256 286	185962031984
STPT(10)	2109602200886805797	0 2 42 44 72 74 102 104 144 146	413960680974
STPT(12)	2109602289364665257	0 2 24 26 84 86 120 122 180 182 204 206	502438540434
SPT(16)	2109602649565970899	0 40 60 88 112 124 130 138 214 222 228 240 264 292 312 352	862639846076