Prime p₀= 1081650961838894747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: sorcrosc
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1081649726764261469	0 20 48 92 122 132 162 170 210 218 248 258 288 332 360 380	-1235074633278
STPT(10)	1081649848420153499	0 2 12 14 90 92 168 170 180 182	-1113418741248
SPT(16)	1081649963160663289	0 40 60 82 108 150 210 250 252 292 352 394 420 442 462 502	-998678231458
STPT(10)	1081650351660435251	0 2 30 32 60 62 90 92 120 122	-610178459496
SPT(16)	1081650508883772341	0 2 30 66 72 98 150 206 252 308 360 386 392 428 456 458	-452955122406
SPT(16)	1081650680794577987	0 32 60 80 126 170 186 252 290 356 372 416 462 482 510 542	-281044316760
SPT(16)	1081651001471914301	0 8 18 60 72 86 126 128 240 242 282 296 308 350 360 368	39633019554
TPT(14)	1081651041754585109	0 2 12 14 192 194 252 254 300 302 318 320 342 344	79915690362
TPT(14)	1081651307003679899	0 2 48 50 102 104 180 182 240 242 258 260 282 284	345164785152
STPT(10)	1081651442793601577	0 2 60 62 72 74 84 86 144 146	480954706830
SPT(16)	1081651519140283391	0 2 42 62 86 98 146 182 186 222 270 282 306 326 366 368	557301388644