Prime p₀= 1289489406578288029 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 24 18 8 18 40 12 2 12 40 18 8 18 24 10 (?)
a_n: 0 10 34 52 60 78 118 130 132 144 184 202 210 228 252 262
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: 262
Found by: Cruncher Pete
db: batch=77, k=16, 10 24 18 8 18 40 12 2

SPT(16)	1289487980705699569	0 4 34 70 90 114 120 174 238 292 298 322 342 378 408 412	-1425872588460
TPT(14)	1289488029342847601	0 2 36 38 66 68 78 80 126 128 210 212 276 278	-1377235440428
SPT(16)	1289488180703240927	0 62 90 92 96 126 146 164 192 210 230 260 264 266 294 356	-1225875047102
SPT(16)	1289488464419302267	0 22 52 94 102 150 172 180 196 204 226 274 282 324 354 376	-942158985762
SPT(16)	1289488584419461379	0 2 24 42 84 92 122 134 198 210 240 248 290 308 330 332	-822158826650
STPT(10)	1289489109475240769	0 2 18 20 30 32 42 44 60 62	-297103047260
STPT(10)	1289489597582376101	0 2 6 8 18 20 30 32 36 38	191004088072
STPT(10)	1289489629382227331	0 2 36 38 78 80 120 122 156 158	222803939302
SPT(16)	1289489710426544213	0 48 126 170 188 230 264 306 308 350 384 426 444 488 566 614	303848256184
SPT(16)	1289489721185308219	0 58 124 142 162 168 202 220 222 240 274 280 300 318 384 442	314607020190
SPT(16)	1289489860446527923	0 30 36 40 58 60 78 84 100 106 124 126 144 148 154 184	453868239894