Prime p₀= 1289465352992261087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1289464587354128741	0 2 78 80 108 110 138 140 216 218	-765638132346
SPT(16)	1289464697611543637	0 56 62 86 132 134 204 230 276 302 372 374 420 444 450 506	-655380717450
SPT(16)	1289464879132760101	0 6 46 52 72 76 78 88 90 100 102 106 126 132 172 178	-473859500986
SPT(16)	1289464906461491483	0 20 26 48 80 86 96 188 216 308 318 324 356 378 384 404	-446530769604
SPT(16)	1289464925209566577	0 6 10 16 52 70 72 120 196 244 246 264 300 306 310 316	-427782694510
SPT(16)	1289465158047492929	0 2 20 32 54 62 104 114 128 138 180 188 210 222 240 242	-194944768158
STPT(10)	1289465433063516827	0 2 24 26 42 44 60 62 84 86	80071255740
STPT(10)	1289465439893083049	0 2 42 44 60 62 78 80 120 122	86900821962
SPT(16)	1289465468735007797	0 44 62 80 90 102 126 156 200 230 254 266 276 294 312 356	115742746710
TPT(14)	1289465737715649827	0 2 60 62 132 134 282 284 312 314 324 326 342 344	384723388740
SPT(16)	1289465902953231503	0 26 56 66 68 78 86 108 236 258 266 276 278 288 318 344	549960970416