Prime p₀= 2589167991445825021 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 8 28 12 30 8 22 38 22 8 30 12 28 8 22 (?)
a_n: 0 22 30 58 70 100 108 130 168 190 198 228 240 268 276 298
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: 298
Found by: JayPi
db: batch=82, k=16, 22 8 28 12 30 8 22 38

SPT(16)	2589166993254271121	0 6 20 30 42 60 116 126 146 156 212 230 242 252 266 272	-998191553900
STPT(10)	2589167108827545677	0 2 54 56 72 74 90 92 144 146	-882618279344
STPT(10)	2589167658204792167	0 2 24 26 42 44 60 62 84 86	-333241032854
SPT(16)	2589167690080766029	0 28 78 120 160 162 190 204 208 222 250 252 292 334 384 412	-301365058992
SPT(16)	2589167697554267201	0 12 36 38 60 108 152 186 242 276 320 368 390 392 416 428	-293891557820
SPT(16)	2589167728495136941	0 40 52 126 138 150 166 168 190 192 208 220 232 306 318 358	-262950688080
TPT(14)	2589168273707560421	0 2 30 32 186 188 246 248 258 260 288 290 336 338	282261735400
SPT(18)	2589169100449320391	0 18 22 36 78 148 178 228 256 342 370 420 450 520 562 576 580 598	1109003495370
SPT(16)	2589169119088145261	0 26 42 56 78 92 96 120 128 152 156 170 192 206 222 248	1127642320240
STPT(10)	2589169253880406271	0 2 6 8 48 50 90 92 96 98	1262434581250
SPT(16)	2589169573190412301	0 40 42 66 78 102 118 126 172 180 196 220 232 256 258 298	1581744587280