Prime p₀= 1038734254028127869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: [SG-2W]Kurzer
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1038732535735111681	0 10 48 52 78 118 120 126 142 148 150 190 216 220 258 268	-1718293016188
SPT(16)	1038732658906492241	0 26 60 72 86 102 108 152 186 230 236 252 266 278 312 338	-1595121635628
SPT(16)	1038732875029043627	0 12 30 86 210 212 234 236 270 272 294 296 420 476 494 506	-1378999084242
SPT(16)	1038733070108308027	0 6 22 34 90 102 124 126 250 252 274 286 342 354 370 376	-1183919819842
SPT(16)	1038733114187780797	0 34 36 66 76 84 90 106 114 130 136 144 154 184 186 220	-1139840347072
STPT(10)	1038733671371695457	0 2 54 56 72 74 90 92 144 146	-582656432412
SPT(16)	1038734707889935759	0 108 120 132 150 160 174 190 222 238 252 262 280 292 304 412	453861807890
TPT(14)	1038735258737019407	0 2 54 56 114 116 180 182 300 302 312 314 384 386	1004708891538
SPT(20)	1038735362360605531	0 30 46 160 226 250 256 322 336 348 370 382 396 462 468 492 558 672 688 718	1108332477662
STPT(10)	1038735376375510139	0 2 18 20 30 32 42 44 60 62	1122347382270
SPT(16)	1038735750052113637	0 60 84 90 156 172 214 280 396 462 504 520 586 592 616 676	1496023985768