Prime p₀= 1286576608330170719 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 14 30 6 48 54 76 26 76 54 48 6 30 14 30 (?)
a_n: 0 30 44 74 80 128 182 258 284 360 414 462 468 498 512 542
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: 542
Found by: Cruncher Pete
db: batch=77, k=16, 30 14 30 6 48 54 76 26

SPT(16)	1286575492209849701	0 18 38 90 126 150 188 198 200 210 248 272 308 360 380 398	-1116120321018
STPT(10)	1286575547043745841	0 2 36 38 78 80 120 122 156 158	-1061286424878
SPT(16)	1286575626434956079	0 14 50 78 98 102 110 144 158 192 200 204 224 252 288 302	-981895214640
SPT(16)	1286575730705534777	0 14 60 74 96 126 144 176 180 212 230 260 282 296 342 356	-877624635942
SPT(16)	1286576201222823061	0 28 40 52 66 82 132 160 168 196 246 262 276 288 300 328	-407107347658
SPT(16)	1286576310868394011	0 16 46 72 90 118 130 156 202 228 240 268 286 312 342 358	-297461776708
SPT(16)	1286577173815814291	0 26 36 50 66 80 90 126 146 182 192 206 222 236 246 272	565485643572
STPT(10)	1286577200380838489	0 2 12 14 30 32 48 50 60 62	592050667770
SPT(16)	1286577287941905881	0 20 62 116 140 180 182 206 336 360 362 402 426 480 522 542	679611735162
STPT(10)	1286577579976303799	0 2 30 32 60 62 90 92 120 122	971646133080
SPT(16)	1286577696963176053	0 46 144 148 156 178 294 304 330 340 456 478 486 490 588 634	1088633005334