Prime p₀= 2993757746691441641 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: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2993756904175935439	0 40 78 90 168 174 190 198 244 252 268 274 352 364 402 442	-842515506202
STPT(10)	2993757243193525979	0 2 42 44 60 62 78 80 120 122	-503497915662
SPT(16)	2993757317197226843	0 14 30 96 104 110 116 146 264 294 300 306 314 380 396 410	-429494214798
SPT(16)	2993757544225261357	0 24 46 60 82 84 172 232 234 294 382 384 406 420 442 466	-202466180284
TPT(14)	2993757590161901609	0 2 60 62 72 74 132 134 180 182 198 200 258 260	-156529540032
SPT(16)	2993757635293926167	0 32 36 44 50 56 66 102 104 140 150 156 162 170 174 206	-111397515474
STPT(10)	2993757834421178777	0 2 30 32 42 44 54 56 84 86	87729737136
SPT(16)	2993757917178114851	0 30 48 56 90 92 150 162 176 188 246 248 282 290 308 338	170486673210
SPT(16)	2993758298513026097	0 6 44 60 84 104 170 176 210 216 282 302 326 342 380 386	551821584456
STPT(10)	2993758817486483747	0 2 30 32 42 44 54 56 84 86	1070795042106
STPT(10)	2993759262399680441	0 2 6 8 18 20 30 32 36 38	1515708238800