Prime p₀= 1124852366801097859 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 26 28 12 8 36 16 32 16 36 8 12 28 26 4 (?)
a_n: 0 4 30 58 70 78 114 130 162 178 214 222 234 262 288 292
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: 292
Found by: crashtech
db: batch=76, k=16, 4 26 28 12 8 36 16 32

SPT(16)	1124851650378542147	0 6 32 42 50 84 116 122 144 150 182 216 224 234 260 266	-716422555712
SPT(16)	1124851671327386971	0 30 42 52 66 90 100 112 156 168 178 202 216 226 238 268	-695473710888
SPT(16)	1124852074593367969	0 4 10 34 72 90 120 150 154 184 214 232 270 294 300 304	-292207729890
TPT(14)	1124852250838546331	0 2 48 50 78 80 138 140 168 170 288 290 336 338	-115962551528
STPT(10)	1124852259331237709	0 2 18 20 30 32 42 44 60 62	-107469860150
STPT(10)	1124852269355316347	0 2 24 26 42 44 60 62 84 86	-97445781512
STPT(10)	1124852403656154959	0 2 30 32 60 62 90 92 120 122	36855057100
STPT(10)	1124852535242885789	0 2 18 20 30 32 42 44 60 62	168441787930
SPT(16)	1124852860167704537	0 2 56 72 74 80 90 102 104 116 126 132 134 150 204 206	493366606678
STPT(10)	1124852872400445647	0 2 30 32 42 44 54 56 84 86	505599347788
SPT(16)	1124852944355840627	0 32 42 72 74 116 120 146 240 266 270 312 314 344 354 386	577554742768