Prime p₀= 1292184266349996749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 46 2 46 2 70 2 (?)
a_n: 0 2 72 74 120 122 168 170 240 242
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: 242
Found by: Cruncher Pete
db: batch=77, k=10, 2 70 2 46 2

SPT(16)	1292182850201295553	0 40 54 64 76 78 106 120 124 138 166 168 180 190 204 244	-1416148701196
STPT(12)	1292182932798639221	0 2 18 20 60 62 96 98 138 140 156 158	-1333551357528
SPT(16)	1292182978008452359	0 40 48 58 64 82 118 180 232 294 330 348 354 364 372 412	-1288341544390
STPT(10)	1292183411012092967	0 2 30 32 42 44 54 56 84 86	-855337903782
STPT(10)	1292183412734369327	0 2 30 32 42 44 54 56 84 86	-853615627422
SPT(16)	1292184186888475831	0 12 30 40 46 82 96 118 150 172 186 222 228 238 256 268	-79461520918
SPT(16)	1292184312687115051	0 12 18 36 42 46 70 72 196 198 222 226 232 250 256 268	46337118302
SPT(16)	1292184353823176993	0 44 54 84 110 114 126 156 254 284 296 300 326 356 366 410	87473180244
SPT(16)	1292184723868568137	0 10 24 60 66 70 126 136 144 154 210 214 220 256 270 280	457518571388
STPT(10)	1292184735883086047	0 2 30 32 60 62 90 92 120 122	469533089298
TPT(14)	1292185350093605249	0 2 60 62 120 122 162 164 240 242 372 374 450 452	1083743608500