Prime p₀= 2354496984260621287 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 180 30 60 6 30 30 6 60 30 180 24 (?)
a_n: 0 24 204 234 294 300 330 360 366 426 456 636 660
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: 660
Found by: Landjunge
db: batch=81, k=13, 24 180 30 60 6 30

SPT(16)	2354495776217690249	0 30 42 102 114 180 182 200 222 240 242 308 320 380 392 422	-1208042931038
STPT(10)	2354495905682346857	0 2 54 56 72 74 90 92 144 146	-1078578274430
STPT(10)	2354496106772716937	0 2 30 32 60 62 90 92 120 122	-877487904350
SPT(16)	2354496386593719727	0 10 64 76 102 106 130 132 214 216 240 244 270 282 336 346	-597666901560
SPT(16)	2354496528591740831	0 90 116 140 156 162 180 188 210 218 236 242 258 282 308 398	-455668880456
SPT(13)	2354496657516334543	0 36 60 66 90 150 168 186 246 270 276 300 336	-326744286744
TPT(14)	2354497012842561281	0 2 30 32 126 128 156 158 198 200 258 260 378 380	28581939994
SPT(16)	2354497074821597663	0 20 38 44 48 68 74 90 458 474 480 500 504 510 528 548	90560976376
SPT(16)	2354497146629747213	0 44 48 50 66 80 86 120 134 168 174 188 204 206 210 254	162369125926
STPT(10)	2354497171422968459	0 2 18 20 30 32 42 44 60 62	187162347172
TPT(14)	2354497343627180441	0 2 18 20 30 32 138 140 180 182 198 200 240 242	359366559154