Prime p₀= 2179123900013513639 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2179123131916223219	0 38 60 72 110 180 182 192 200 210 212 282 320 332 354 392	-768097290420
SPT(16)	2179123517330042951	0 20 30 42 48 56 78 90 128 140 162 170 176 188 198 218	-382683470688
SPT(16)	2179123613118973621	0 16 58 100 156 168 196 258 310 372 400 412 468 510 552 568	-286894540018
SPT(16)	2179123709110707773	0 30 56 66 96 108 138 198 206 266 296 308 338 348 374 404	-190902805866
STPT(10)	2179123755432855191	0 2 36 38 78 80 120 122 156 158	-144580658448
SPT(16)	2179123756904814653	0 38 44 90 108 114 150 168 446 464 500 506 524 570 576 614	-143108698986
STPT(10)	2179124014449491279	0 2 42 44 60 62 78 80 120 122	114435977640
SPT(18)	2179124040858680231	0 18 42 50 108 116 128 150 170 198 218 240 252 260 318 326 350 368	140845166592
STPT(10)	2179124550342133871	0 2 36 38 78 80 120 122 156 158	650328620232
SPT(16)	2179124555442590939	0 14 42 44 102 110 134 162 242 270 294 302 360 362 390 404	655429077300
STPT(10)	2179124615983159487	0 2 24 26 42 44 60 62 84 86	715969645848