Prime p₀= 1039344676176388199 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: [SG-2W]Kurzer
db: batch=76, k=10, 2 46 2 10 2

SPT(20)	1039343492411402861	0 26 48 50 62 72 86 90 96 138 170 212 218 222 236 246 258 260 282 308	-1183764985338
SPT(16)	1039343663200862323	0 24 90 106 124 150 166 174 280 288 304 330 348 364 430 454	-1012975525876
TPT(14)	1039343780272899107	0 2 12 14 24 26 84 86 222 224 360 362 444 446	-895903489092
STPT(10)	1039343923123873067	0 2 30 32 42 44 54 56 84 86	-753052515132
SPT(16)	1039344113380686991	0 12 28 30 138 150 160 166 192 198 208 220 328 330 346 358	-562795701208
STPT(10)	1039344152074534037	0 2 30 32 42 44 54 56 84 86	-524101854162
SPT(16)	1039344720854798821	0 28 36 46 72 100 106 112 156 162 168 196 222 232 240 268	44678410622
SPT(16)	1039344766701736343	0 6 56 144 150 186 270 288 296 314 398 434 440 528 578 584	90525348144
STPT(10)	1039344876140236481	0 2 6 8 48 50 90 92 96 98	199963848282
STPT(10)	1039345035708081899	0 2 18 20 30 32 42 44 60 62	359531693700
SPT(16)	1039345217149817507	0 12 86 114 152 194 230 252 254 276 312 354 392 420 494 506	540973429308