Prime p₀= 2402251410529040417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2402250085929928847	0 2 30 32 42 44 54 56 84 86	-1324599111570
SPT(16)	2402250110598901627	0 12 30 52 64 82 84 114 220 250 252 270 282 304 322 334	-1299930138790
SPT(16)	2402250232907657389	0 34 60 78 112 132 144 154 168 178 190 210 244 262 288 322	-1177621383028
SPT(18)	2402250820620343981	0 16 18 36 88 96 168 186 210 226 250 268 340 348 400 418 420 436	-589908696436
STPT(10)	2402251062302941247	0 2 30 32 72 74 114 116 144 146	-348226099170
STPT(10)	2402251084247875769	0 2 18 20 30 32 42 44 60 62	-326281164648
SPT(16)	2402251577609919283	0 10 34 94 118 156 160 184 210 234 238 276 300 360 384 394	167080878866
SPT(16)	2402252284721594867	0 6 14 56 116 122 126 170 246 290 294 300 360 402 410 416	874192554450
STPT(10)	2402252287949180867	0 2 54 56 72 74 90 92 144 146	877420140450
STPT(10)	2402252390083907687	0 2 42 44 72 74 102 104 144 146	979554867270
TPT(14)	2402252519701057451	0 2 30 32 36 38 138 140 150 152 156 158 288 290	1109172017034