Prime p₀= 1167588397224745499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: xii5ku
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1167587224456400047	0 72 82 124 136 156 166 180 256 270 280 300 312 354 364 436	-1172768345452
STPT(10)	1167587503674107861	0 2 36 38 78 80 120 122 156 158	-893550637638
STPT(10)	1167587936836539719	0 2 48 50 90 92 132 134 180 182	-460388205780
STPT(10)	1167588291927060317	0 2 30 32 72 74 114 116 144 146	-105297685182
STPT(10)	1167588301115202479	0 2 42 44 60 62 78 80 120 122	-96109543020
SPT(16)	1167588363038645827	0 10 12 16 76 90 130 142 210 222 262 276 336 340 342 352	-34186099672
STPT(10)	1167588404354387537	0 2 30 32 42 44 54 56 84 86	7129642038
SPT(16)	1167588459259968797	0 72 116 122 132 162 200 206 336 342 380 410 420 426 470 542	62035223298
TPT(14)	1167588464665034051	0 2 120 122 126 128 180 182 276 278 390 392 420 422	67440288552
SPT(16)	1167588969802446167	0 12 14 26 74 114 126 132 224 230 242 282 330 342 344 356	572577700668
STPT(10)	1167589632360784847	0 2 30 32 42 44 54 56 84 86	1235136039348