Prime p₀= 2736567073719283223 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 8 30 4 8 52 8 22 8 52 8 4 30 8 6 (?)
a_n: 0 6 14 44 48 56 108 116 138 146 198 206 210 240 248 254
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: 254
Found by: JayPi
db: batch=82, k=16, 6 8 30 4 8 52 8 22

SPT(16)	2736565812517018043	0 20 30 48 60 66 80 144 170 234 248 254 266 284 294 314	-1261202265180
STPT(10)	2736565861365798359	0 2 30 32 120 122 210 212 240 242	-1212353484864
SPT(16)	2736565964469110537	0 24 26 66 86 162 164 194 222 252 254 330 350 390 392 416	-1109250172686
STPT(10)	2736566096204514389	0 2 12 14 30 32 48 50 60 62	-977514768834
SPT(16)	2736566584721924963	0 54 78 108 120 126 150 170 204 224 248 254 266 296 320 374	-488997358260
STPT(10)	2736567072396237161	0 2 6 8 48 50 90 92 96 98	-1323046062
SPT(16)	2736567120684575617	0 6 10 24 46 52 54 60 76 82 84 90 112 126 130 136	46965292394
SPT(18)	2736567693489655997	0 2 54 66 86 96 104 122 132 164 174 192 200 210 230 242 294 296	619770372774
SPT(16)	2736567888786694243	0 10 28 30 36 46 66 78 88 100 120 130 136 138 156 166	815067411020
STPT(10)	2736568524989429717	0 2 30 32 72 74 114 116 144 146	1451270146494
SPT(16)	2736568665714176983	0 16 46 48 60 70 84 118 126 160 174 184 196 198 228 244	1591994893760