Prime p₀= 2789757345163083689 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 18 42 108 30 30 6 6 30 30 108 42 18 (?)
a_n: 0 18 60 168 198 228 234 240 270 300 408 450 468
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 468
Found by: UBT - Timbo
db: batch=82, k=13, 18 42 108 30 30 6

SPT(16)	2789757057421476929	0 80 90 114 132 138 140 164 198 222 224 230 248 272 282 362	-287741606760
TPT(14)	2789757122452681289	0 2 30 32 60 62 138 140 228 230 252 254 318 320	-222710402400
SPT(16)	2789757133344378289	0 22 42 52 58 100 102 112 180 190 192 234 240 250 270 292	-211818705400
SPT(16)	2789757271134965753	0 24 44 48 96 128 156 164 240 248 276 308 356 360 380 404	-74028117936
SPT(16)	2789757310412020909	0 4 28 30 42 60 72 88 174 190 202 220 232 234 258 262	-34751062780
SPT(16)	2789757333428704151	0 32 36 42 60 66 108 140 168 200 242 248 266 272 276 308	-11734379538
SPT(16)	2789757359312252743	0 16 58 64 78 84 108 196 318 406 430 436 450 456 498 514	14149169054
SPT(16)	2789757653168397479	0 24 60 68 102 128 152 168 194 210 234 260 294 302 338 362	308005313790
SPT(18)	2789757687855222683	0 8 54 60 78 96 144 156 180 284 308 320 368 386 404 410 456 464	342692138994
SPT(16)	2789757766690816513	0 16 34 40 64 114 148 180 184 216 250 300 324 330 348 364	421527732824
STPT(10)	2789757956831917427	0 2 30 32 72 74 114 116 144 146	611668833738