Prime p₀= 2088314254214535803 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 6 50 34 36 6 44 34 44 6 36 34 50 6 24 (?)
a_n: 0 24 30 80 114 150 156 200 234 278 284 320 354 404 410 434
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: 434
Found by: JonS
db: batch=80, k=16, 24 6 50 34 36 6 44 34

SPT(16)	2088312589761732869	0 2 12 68 72 78 120 174 218 272 314 320 324 380 390 392	-1664452802934
TPT(14)	2088312618116407271	0 2 30 32 78 80 138 140 156 158 276 278 318 320	-1636098128532
SPT(16)	2088313231712888093	0 8 20 36 86 104 144 156 158 170 210 228 278 294 306 314	-1022501647710
STPT(10)	2088313598500487327	0 2 30 32 72 74 114 116 144 146	-655714048476
SPT(16)	2088313768418311319	0 12 18 32 68 72 78 110 120 152 158 162 198 212 218 230	-485796224484
STPT(10)	2088313797763313297	0 2 60 62 102 104 144 146 204 206	-456451222506
SPT(16)	2088315121134579959	0 14 20 62 68 108 138 150 212 224 254 294 300 342 348 362	866920044156
SPT(18)	2088315341162836523	0 30 44 50 56 78 128 134 156 188 210 216 266 288 294 300 314 344	1086948300720
STPT(10)	2088315436749634397	0 2 30 32 42 44 54 56 84 86	1182535098594
SPT(16)	2088316092395056409	0 18 30 74 84 110 140 198 224 282 312 338 348 392 404 422	1838180520606
STPT(10)	2088316378953770489	0 2 18 20 30 32 42 44 60 62	2124739234686