Prime p₀= 2958331900876627571 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: Orange Kid
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2958330226154487929	0 2 38 104 110 122 218 254 258 294 390 402 408 474 510 512	-1674722139642
SPT(16)	2958330373459598653	0 18 36 40 136 138 180 196 228 244 286 288 384 388 406 424	-1527417028918
SPT(16)	2958330586905339859	0 12 42 52 70 82 90 114 160 184 192 204 222 232 262 274	-1313971287712
STPT(10)	2958330906510877031	0 2 66 68 138 140 210 212 276 278	-994365750540
STPT(10)	2958330949408944377	0 2 30 32 72 74 114 116 144 146	-951467683194
SPT(16)	2958331069292940917	0 2 24 50 72 104 114 120 176 182 192 224 246 272 294 296	-831583686654
STPT(10)	2958332108926655957	0 2 60 62 72 74 84 86 144 146	208050028386
SPT(16)	2958332461386592343	0 8 14 56 74 78 86 138 176 228 236 240 258 300 306 314	560509964772
TPT(16)	2958332467122328979	0 2 72 74 132 134 198 200 270 272 282 284 300 302 312 314	566245701408
SPT(18)	2958332820561545041	0 10 18 30 46 76 88 130 132 136 138 180 192 222 238 250 258 268	919684917470
SPT(16)	2958332881155218867	0 2 66 170 182 186 210 282 284 356 380 384 396 500 564 566	980278591296