Prime p₀= 1288757144827065671 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: Cruncher Pete
db: batch=77, k=10, 2 4 2 10 2

TPT(14)	1288755054935115371	0 2 90 92 126 128 156 158 246 248 258 260 288 290	-2089891950300
SPT(16)	1288755071020480279	0 28 42 52 88 90 94 144 208 258 262 264 300 310 324 352	-2073806585392
SPT(16)	1288755708177809567	0 2 12 36 104 122 156 174 212 230 264 282 350 374 384 386	-1436649256104
STPT(10)	1288755914766698459	0 2 12 14 90 92 168 170 180 182	-1230060367212
STPT(12)	1288756429126597547	0 2 30 32 42 44 72 74 84 86 114 116	-715700468124
SPT(16)	1288756846239578693	0 8 14 48 54 90 96 200 204 308 314 350 356 390 396 404	-298587486978
STPT(10)	1288757172780164777	0 2 30 32 42 44 54 56 84 86	27953099106
SPT(16)	1288757216160618773	0 8 20 30 38 44 60 90 158 188 204 210 218 228 240 248	71333553102
SPT(16)	1288757377625611787	0 12 14 36 50 90 92 126 230 264 266 306 320 342 344 356	232798546116
STPT(10)	1288757582152326467	0 2 24 26 42 44 60 62 84 86	437325260796
SPT(16)	1288757621191695461	0 30 48 56 60 72 86 122 126 162 176 188 192 200 218 248	476364629790