Prime p₀= 1124764800966947009 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 12 2 30 4 6 30 74 30 6 4 30 2 12 30 (?)
a_n: 0 30 42 44 74 78 84 114 188 218 224 228 258 260 272 302
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: 302
Found by: crashtech
db: batch=76, k=16, 30 12 2 30 4 6 30 74

SPT(16)	1124763189452959523	0 26 68 78 96 98 120 126 158 164 186 188 206 216 258 284	-1611513987486
SPT(16)	1124763695190151087	0 10 12 36 52 54 64 70 96 102 112 114 130 154 156 166	-1105776795922
SPT(16)	1124763875055352723	0 6 16 60 70 76 118 126 148 156 198 204 214 258 268 274	-925911594286
SPT(13)	1124764188424737691	0 12 18 42 132 150 180 210 228 318 342 348 360	-612542209318
SPT(16)	1124764672793488907	0 12 14 20 26 42 50 56 60 66 74 90 96 102 104 116	-128173458102
SPT(16)	1124764761639828761	0 6 12 48 72 96 180 228 240 288 372 396 420 456 462 468	-39327118248
STPT(10)	1124764913308611899	0 2 18 20 30 32 42 44 60 62	112341664890
SPT(16)	1124765105177817109	0 52 70 84 94 112 114 138 154 178 180 198 208 222 240 292	304210870100
STPT(10)	1124765246332838741	0 2 36 38 78 80 120 122 156 158	445365891732
TPT(14)	1124765685492427019	0 2 18 20 30 32 138 140 150 152 270 272 318 320	884525480010
STPT(10)	1124765865201191417	0 2 12 14 42 44 72 74 84 86	1064234244408