Prime p₀= 798712749516403121 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 26 16 6 8 6 30 34 30 6 8 6 16 26 30 (?)
a_n: 0 30 56 72 78 86 92 122 156 186 192 200 206 222 248 278
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: [SG-2W]Kurzer
db: batch=73, k=16, 30 26 16 6 8 6 30 34

STPT(10)	798711737450159957	0 2 54 56 72 74 90 92 144 146	-1012066243164
SPT(16)	798712028103094531	0 10 40 72 82 100 126 132 160 166 192 210 220 252 282 292	-721413308590
SPT(16)	798712065329993531	0 6 8 30 36 66 78 80 96 98 110 140 146 168 170 176	-684186409590
STPT(10)	798712096287587927	0 2 30 32 42 44 54 56 84 86	-653228815194
SPT(16)	798712177178638729	0 18 40 42 52 94 102 108 154 160 168 210 220 222 244 262	-572337764392
STPT(10)	798712422426162611	0 2 6 8 48 50 90 92 96 98	-327090240510
SPT(16)	798712811440563181	0 16 42 70 82 96 106 126 136 156 166 180 192 220 246 262	61924160060
STPT(10)	798713058440023169	0 2 18 20 60 62 102 104 120 122	308923620048
STPT(10)	798713098973796197	0 2 90 92 102 104 114 116 204 206	349457393076
TPT(14)	798713329047074891	0 2 36 38 126 128 156 158 240 242 258 260 270 272	579530671770
SPT(16)	798713862224616673	0 4 66 70 90 126 150 174 196 220 244 280 300 304 366 370	1112708213552