Prime p₀= 1289462356100889791 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

STPT(10)	1289461125562886369	0 2 42 44 60 62 78 80 120 122	-1230538003422
STPT(10)	1289461184451982271	0 2 36 38 78 80 120 122 156 158	-1171648907520
STPT(10)	1289461210878290477	0 2 30 32 42 44 54 56 84 86	-1145222599314
STPT(10)	1289461275904701869	0 2 12 14 30 32 48 50 60 62	-1080196187922
SPT(16)	1289461870170472721	0 30 62 66 86 116 132 188 270 326 342 372 392 396 428 458	-485930417070
SPT(16)	1289462230474125941	0 36 48 72 128 156 192 228 230 266 302 330 386 410 422 458	-125626763850
SPT(16)	1289462461983330431	0 26 30 38 86 96 98 108 158 168 170 180 228 236 240 266	105882440640
SPT(16)	1289462509531294909	0 12 132 142 180 202 220 222 238 240 258 280 318 328 448 460	153430405118
SPT(16)	1289462888610696557	0 2 24 30 44 60 72 80 84 92 104 120 134 140 162 164	532509806766
STPT(10)	1289462953389409061	0 2 6 8 48 50 90 92 96 98	597288519270
STPT(10)	1289463256089003767	0 2 30 32 72 74 114 116 144 146	899988113976