Prime p₀= 1025569728589541579 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 2 16 68 12 10 14 34 14 10 12 68 16 2 12 (?)
a_n: 0 12 14 30 98 110 120 134 168 182 192 204 272 288 290 302
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: 302
Found by: HenkM
db: batch=76, k=16, 12 2 16 68 12 10 14 34

SPT(16)	1025568960085883753	0 8 50 56 80 86 114 134 150 170 198 204 228 234 276 284	-768503657826
SPT(16)	1025569130827200731	0 2 32 48 66 140 186 212 246 272 318 392 410 426 456 458	-597762340848
SPT(16)	1025569140980077847	0 14 20 32 44 54 74 86 240 252 272 282 294 306 312 326	-587609463732
SPT(16)	1025569308744665983	0 4 16 28 78 90 96 114 130 148 154 166 216 228 240 244	-419844875596
SPT(16)	1025569319880281321	0 18 56 60 78 138 158 186 260 288 308 368 386 390 428 446	-408709260258
SPT(16)	1025569380843591481	0 28 46 52 66 76 88 106 132 150 162 172 186 192 210 238	-347745950098
TPT(14)	1025569962567947261	0 2 78 80 90 92 108 110 210 212 246 248 258 260	233978405682
STPT(10)	1025570510820900521	0 2 36 38 78 80 120 122 156 158	782231358942
SPT(16)	1025570587364665021	0 16 36 70 102 106 138 186 232 280 312 316 348 382 402 418	858775123442
STPT(10)	1025570652037091099	0 2 18 20 60 62 102 104 120 122	923447549520
SPT(16)	1025570895912558299	0 38 80 98 110 132 134 150 152 168 170 192 204 222 264 302	1167323016720