Prime p₀= 3489878444209514597 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 56 6 18 24 10 6 62 64 14 64 62 6 10 24 18 6 56 (?)
a_n: 0 56 62 80 104 114 120 182 246 260 324 386 392 402 426 444 450 506
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 506
Found by: herby44
db: batch=83, k=18, 56 6 18 24 10 6 62 64 14

SPT(16)	3489876559386674113	0 34 88 126 144 150 166 174 220 228 244 250 268 306 360 394	-1884822840484
SPT(16)	3489877053875866729	0 12 34 48 132 162 168 210 292 334 340 370 454 468 490 502	-1390333647868
SPT(16)	3489877515236326691	0 38 60 170 182 192 206 276 422 492 506 516 528 638 660 698	-928973187906
SPT(16)	3489877569895623149	0 12 68 84 90 104 168 224 258 314 378 392 398 414 470 482	-874313891448
SPT(16)	3489877985405905189	0 12 42 64 84 90 118 130 162 174 202 208 228 250 280 292	-458803609408
TPT(16)	3489878417323722491	0 2 6 8 18 20 90 92 138 140 156 158 168 170 216 218	-26885792106
STPT(10)	3489878901495810881	0 2 36 38 78 80 120 122 156 158	457286296284
STPT(10)	3489878983010886041	0 2 36 38 78 80 120 122 156 158	538801371444
SPT(16)	3489879247291669279	0 12 24 28 60 78 102 108 124 130 154 172 204 208 220 232	803082154682
SPT(18)	3489879425332748867	0 12 14 30 56 66 86 90 110 126 146 150 170 180 206 222 224 236	981123234270
SPT(16)	3489879567275208407	0 14 20 42 54 60 110 122 174 186 236 242 254 276 282 296	1123065693810