Prime p₀= 1022808825536987309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1022808083288079971	0 2 36 38 78 80 120 122 156 158	-742248907338
SPT(16)	1022808116343277211	0 6 8 90 120 122 126 182 216 272 276 278 308 390 392 398	-709193710098
STPT(10)	1022808406864733849	0 2 42 44 90 92 138 140 180 182	-418672253460
SPT(16)	1022808460778583529	0 58 94 108 120 150 168 220 252 304 322 352 364 378 414 472	-364758403780
SPT(16)	1022808549365864941	0 36 70 82 142 166 168 208 210 250 252 276 336 348 382 418	-276171122368
SPT(16)	1022808725693744359	0 18 112 118 132 168 220 234 238 252 304 340 354 360 454 472	-99843242950
STPT(10)	1022809102408521887	0 2 30 32 42 44 54 56 84 86	276871534578
SPT(16)	1022809488572341963	0 6 10 54 108 124 150 166 168 184 210 226 280 324 328 334	663035354654
STPT(10)	1022809612815547157	0 2 12 14 42 44 72 74 84 86	787278559848
STPT(10)	1022809626446170007	0 2 30 32 42 44 54 56 84 86	800909182698
SPT(16)	1022810234634429071	0 18 78 90 138 218 242 260 270 288 312 392 440 452 512 530	1409097441762