Prime p₀= 2117791553361935599 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 18 26 40 6 12 8 22 8 12 6 40 26 18 40 (?)
a_n: 0 40 58 84 124 130 142 150 172 180 192 198 238 264 282 322
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: 322
Found by: Landjunge
db: batch=80, k=16, 40 18 26 40 6 12 8 22

SPT(16)	2117791067272663231	0 16 18 36 60 82 126 130 138 142 186 208 232 250 252 268	-486089272368
SPT(16)	2117791186499042071	0 40 42 66 90 96 108 162 166 220 232 238 262 286 288 328	-366862893528
STPT(10)	2117791253139142949	0 2 18 20 30 32 42 44 60 62	-300222792650
SPT(16)	2117791293099498253	0 6 34 58 96 100 108 150 184 226 234 238 276 300 328 334	-260262437346
STPT(10)	2117791304848869071	0 2 36 38 78 80 120 122 156 158	-248513066528
SPT(16)	2117791326298108007	0 30 42 56 66 74 96 122 144 170 192 200 210 224 236 266	-227063827592
STPT(10)	2117792055864006161	0 2 6 8 48 50 90 92 96 98	502502070562
STPT(10)	2117792751648092147	0 2 30 32 72 74 114 116 144 146	1198286156548
STPT(10)	2117793342788487977	0 2 30 32 42 44 54 56 84 86	1789426552378
TPT(14)	2117793424091052527	0 2 30 32 72 74 204 206 210 212 240 242 252 254	1870729116928
SPT(16)	2117795229742163009	0 42 44 62 90 114 128 134 168 174 188 212 240 258 260 302	3676380227410