Prime p₀= 2377866227874371713 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 20 42 58 2 36 24 4 24 36 2 58 42 20 58 (?)
a_n: 0 58 78 120 178 180 216 240 244 268 304 306 364 406 426 484
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: 484
Found by: Landjunge
db: batch=81, k=16, 58 20 42 58 2 36 24 4

SPT(16)	2377863849185020199	0 12 14 20 44 50 54 104 198 248 252 258 282 288 290 302	-2378689351514
SPT(16)	2377864111955115379	0 60 78 124 142 144 178 192 310 324 358 360 378 424 442 502	-2115919256334
STPT(10)	2377864478773093361	0 2 6 8 18 20 30 32 36 38	-1749101278352
SPT(16)	2377864925305545631	0 22 46 60 82 106 120 126 202 208 222 246 268 282 306 328	-1302568826082
SPT(16)	2377865545463162857	0 6 72 84 112 114 126 130 156 160 172 174 202 214 280 286	-682411208856
SPT(16)	2377865681112049939	0 42 48 54 88 90 114 144 208 238 262 264 298 304 310 352	-546762321774
SPT(16)	2377866902063360863	0 4 18 60 130 154 166 184 210 228 240 264 334 376 390 394	674188989150
STPT(10)	2377867045982854967	0 2 30 32 72 74 114 116 144 146	818108483254
STPT(10)	2377867146845031197	0 2 30 32 72 74 114 116 144 146	918970659484
TPT(14)	2377867312392747809	0 2 18 20 30 32 60 62 102 104 138 140 240 242	1084518376096
SPT(16)	2377867378751886247	0 22 36 84 94 132 160 172 234 246 274 312 322 370 384 406	1150877514534