Prime p₀= 1276596839610371689 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 8 78 10 48 26 6 52 6 26 48 10 78 8 4 (?)
a_n: 0 4 12 90 100 148 174 180 232 238 264 312 322 400 408 412
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: 412
Found by: HenkM
db: batch=77, k=16, 4 8 78 10 48 26 6 52

STPT(10)	1276595583230784917	0 2 60 62 72 74 84 86 144 146	-1256379586772
STPT(10)	1276595813700483959	0 2 12 14 90 92 168 170 180 182	-1025909887730
SPT(16)	1276596143293295599	0 10 34 48 60 78 90 144 154 208 220 238 250 264 288 298	-696317076090
SPT(16)	1276596614249981767	0 22 30 36 46 70 72 112 144 184 186 210 220 226 234 256	-225360389922
STPT(10)	1276596690106328951	0 2 6 8 48 50 90 92 96 98	-149504042738
STPT(10)	1276596751300889969	0 2 18 20 30 32 42 44 60 62	-88309481720
SPT(16)	1276597238482059797	0 6 62 72 120 132 146 156 176 186 200 212 260 270 326 332	398871688108
STPT(10)	1276597715255279897	0 2 30 32 42 44 54 56 84 86	875644908208
SPT(16)	1276597918338892313	0 36 80 84 98 110 114 128 216 230 234 246 260 264 308 344	1078728520624
SPT(16)	1276598014424591713	0 30 106 108 154 156 196 210 214 228 268 270 316 318 394 424	1174814220024
STPT(10)	1276598136555074687	0 2 54 56 72 74 90 92 144 146	1296944702998