Prime p₀= 1124969287875938563 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 30 28 24 12 6 20 22 20 6 12 24 28 30 6 (?)
a_n: 0 6 36 64 88 100 106 126 148 168 174 186 210 238 268 274
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: Theadalus
db: batch=76, k=16, 6 30 28 24 12 6 20 22

SPT(16)	1124967350903104273	0 6 28 64 118 120 166 196 258 288 334 336 390 426 448 454	-1936972834290
STPT(10)	1124967429259524449	0 2 18 20 30 32 42 44 60 62	-1858616414114
SPT(16)	1124967589525862473	0 10 24 34 66 76 94 150 160 216 234 244 276 286 300 310	-1698350076090
SPT(16)	1124967987624112843	0 24 66 84 100 120 150 156 178 184 214 234 250 268 310 334	-1300251825720
STPT(10)	1124968599381841271	0 2 36 38 78 80 120 122 156 158	-688494097292
STPT(10)	1124968838799400919	0 2 18 20 30 32 42 44 60 62	-449076537644
SPT(16)	1124969597424140021	0 42 66 68 120 162 186 206 222 242 266 308 360 362 386 428	309548201458
STPT(12)	1124969722868463287	0 2 12 14 54 56 60 62 102 104 114 116	434992524724
SPT(16)	1124969977472070397	0 16 90 132 142 162 174 180 226 232 244 264 274 316 390 406	689596131834
STPT(10)	1124970253394314037	0 2 60 62 72 74 84 86 144 146	965518375474
STPT(10)	1124970363701778899	0 2 42 44 90 92 138 140 180 182	1075825840336