Prime p₀= 2159915513234329843 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 8 4 14 70 6 8 58 8 6 70 14 4 8 58 (?)
a_n: 0 58 66 70 84 154 160 168 226 234 240 310 324 328 336 394
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: 394
Found by: Landjunge
db: batch=81, k=16, 58 8 4 14 70 6 8 58

SPT(20)	2159914810581017239	0 58 94 142 144 154 162 172 192 234 268 310 330 340 348 358 360 408 444 502	-702653312604
SPT(16)	2159915011304770361	0 6 26 32 36 50 56 66 92 102 108 122 126 132 152 158	-501929559482
STPT(10)	2159915087859437141	0 2 36 38 78 80 120 122 156 158	-425374892702
SPT(16)	2159915145715949189	0 12 78 102 120 140 162 164 198 200 222 242 260 284 350 362	-367518380654
SPT(18)	2159915258766524261	0 32 48 72 78 116 140 182 212 246 276 318 342 380 386 410 426 458	-254467805582
SPT(16)	2159915412832927853	0 6 8 48 74 98 108 110 174 176 186 210 236 276 278 284	-100401401990
SPT(16)	2159915675080978249	0 12 22 28 30 40 54 64 78 88 102 112 114 120 130 142	161846648406
STPT(10)	2159915848973508749	0 2 12 14 30 32 48 50 60 62	335739178906
SPT(16)	2159916406624907867	0 24 30 54 80 104 110 114 122 126 132 156 182 206 212 236	893390578024
STPT(10)	2159916570919798721	0 2 30 32 60 62 90 92 120 122	1057685468878
STPT(10)	2159917097730610079	0 2 42 44 120 122 198 200 240 242	1584496280236