Prime p₀= 1505896456673194049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: RoXoR
db: batch=78, k=10, 2 46 2 10 2

SPT(13)	1505894318472356863	0 24 108 120 198 234 264 294 330 408 420 504 528	-2138200837186
TPT(14)	1505894504658191741	0 2 30 32 78 80 156 158 168 170 216 218 288 290	-1952015002308
STPT(10)	1505894924852111369	0 2 78 80 120 122 162 164 240 242	-1531821082680
STPT(10)	1505895082756393949	0 2 42 44 90 92 138 140 180 182	-1373916800100
TPT(14)	1505896031691000197	0 2 42 44 132 134 162 164 174 176 252 254 264 266	-424982193852
SPT(16)	1505896315020538817	0 26 36 96 104 110 132 176 180 224 246 252 260 320 330 356	-141652655232
SPT(18)	1505896559896434203	0 38 86 98 114 138 158 168 210 224 266 276 296 320 336 348 396 434	103223240154
SPT(16)	1505896565347944461	0 6 26 48 66 102 168 236 312 380 446 482 500 522 542 548	108674750412
SPT(16)	1505896720702393991	0 30 80 98 102 132 152 156 182 186 206 236 240 258 308 338	264029199942
SPT(16)	1505896735978730203	0 30 54 70 168 198 238 240 274 276 316 346 444 460 484 514	279305536154
STPT(10)	1505896927519955051	0 2 6 8 48 50 90 92 96 98	470846761002