Prime p₀= 1124763875055352723 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 10 44 10 6 42 8 22 8 42 6 10 44 10 6 (?)
a_n: 0 6 16 60 70 76 118 126 148 156 198 204 214 258 268 274
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: 274
Found by: crashtech
db: batch=76, k=16, 6 10 44 10 6 42 8 22

STPT(10)	1124762453639518427	0 2 30 32 42 44 54 56 84 86	-1421415834296
SPT(16)	1124762596899369853	0 28 34 66 78 118 130 196 228 294 306 346 358 390 396 424	-1278155982870
STPT(12)	1124762725586323037	0 2 12 14 42 44 60 62 90 92 102 104	-1149469029686
STPT(12)	1124762728799075369	0 2 12 14 42 44 48 50 78 80 90 92	-1146256277354
SPT(16)	1124763189452959523	0 26 68 78 96 98 120 126 158 164 186 188 206 216 258 284	-685602393200
SPT(16)	1124763695190151087	0 10 12 36 52 54 64 70 96 102 112 114 130 154 156 166	-179865201636
SPT(13)	1124764188424737691	0 12 18 42 132 150 180 210 228 318 342 348 360	313369384968
SPT(16)	1124764672793488907	0 12 14 20 26 42 50 56 60 66 74 90 96 102 104 116	797738136184
SPT(16)	1124764761639828761	0 6 12 48 72 96 180 228 240 288 372 396 420 456 462 468	886584476038
SPT(16)	1124764800966947009	0 30 42 44 74 78 84 114 188 218 224 228 258 260 272 302	925911594286
STPT(10)	1124764913308611899	0 2 18 20 30 32 42 44 60 62	1038253259176