Prime p₀= 1456821226256750609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: Spectrum
db: batch=78, k=10, 2 10 2 76 2

SPT(16)	1456819838506094477	0 72 90 104 114 116 156 164 192 200 240 242 252 266 284 356	-1387750656132
SPT(16)	1456819965837609419	0 74 132 144 182 210 212 224 300 312 314 342 380 392 450 524	-1260419141190
SPT(16)	1456819988906458171	0 36 48 108 190 216 238 286 402 450 472 498 580 640 652 688	-1237350292438
STPT(10)	1456820316940774991	0 2 6 8 18 20 30 32 36 38	-909315975618
STPT(10)	1456820444058500837	0 2 30 32 42 44 54 56 84 86	-782198249772
STPT(10)	1456821081532200731	0 2 6 8 48 50 90 92 96 98	-144724549878
STPT(10)	1456821276860866907	0 2 12 14 72 74 132 134 144 146	50604116298
SPT(16)	1456821916151682749	0 8 12 54 62 120 128 132 140 144 152 210 218 260 264 272	689894932140
TPT(14)	1456822286856200291	0 2 60 62 108 110 156 158 198 200 228 230 318 320	1060599449682
SPT(16)	1456822442754095071	0 28 36 58 100 118 132 142 186 196 210 228 270 292 300 328	1216497344462
STPT(10)	1456822524894986057	0 2 30 32 42 44 54 56 84 86	1298638235448