Prime p₀= 1005683742843459923 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 2 42 24 30 6 78 28 78 6 30 24 42 2 6 (?)
a_n: 0 6 8 50 74 104 110 188 216 294 300 330 354 396 398 404
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: 404
Found by: [SG]ATA-Rolf
db: batch=76, k=16, 6 2 42 24 30 6 78 28

SPT(16)	1005682098050319857	0 6 66 150 170 182 192 212 234 254 264 276 296 380 440 446	-1644793140066
STPT(10)	1005682121554563767	0 2 30 32 72 74 114 116 144 146	-1621288896156
STPT(10)	1005682483955773121	0 2 36 38 78 80 120 122 156 158	-1258887686802
STPT(10)	1005682643500474109	0 2 18 20 30 32 42 44 60 62	-1099342985814
TPT(14)	1005682904666830109	0 2 18 20 108 110 210 212 282 284 408 410 420 422	-838176629814
SPT(16)	1005683669995206263	0 48 66 90 96 98 150 164 210 224 276 278 284 308 326 374	-72848253660
STPT(10)	1005683955780014351	0 2 36 38 78 80 120 122 156 158	212936554428
STPT(12)	1005684218083709147	0 2 42 44 60 62 84 86 102 104 144 146	475240249224
SPT(16)	1005684372415528097	0 12 26 32 42 80 90 96 146 152 162 200 210 216 230 242	629572068174
SPT(16)	1005684435693927809	0 2 14 84 98 102 108 120 122 134 140 144 158 228 240 242	692850467886
SPT(16)	1005684513123295373	0 30 36 114 128 156 168 188 246 266 278 306 320 398 404 434	770279835450