Prime p₀= 2021056161081611117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: LeChat51X
db: batch=80, k=10, 2 58 2 40 2

SPT(16)	2021055137779910923	0 34 64 124 144 148 186 210 214 238 276 280 300 360 390 424	-1023301700194
SPT(16)	2021055240986518199	0 12 80 92 110 150 182 204 410 432 464 504 522 534 602 614	-920095092918
SPT(16)	2021055294937028423	0 24 66 68 98 176 188 216 308 336 348 426 456 458 500 524	-866144582694
STPT(10)	2021055390054730199	0 2 42 44 60 62 78 80 120 122	-771026880918
STPT(12)	2021055743384012759	0 2 138 140 222 224 378 380 462 464 600 602	-417697598358
STPT(10)	2021055801933775331	0 2 6 8 48 50 90 92 96 98	-359147835786
STPT(10)	2021056173201424937	0 2 30 32 42 44 54 56 84 86	12119813820
STPT(10)	2021056511339936009	0 2 18 20 30 32 42 44 60 62	350258324892
STPT(10)	2021056662677734007	0 2 60 62 72 74 84 86 144 146	501596122890
SPT(18)	2021057210446774369	0 24 28 42 78 84 108 130 148 174 192 214 238 244 280 294 298 322	1049365163252
SPT(16)	2021057438161008619	0 22 28 54 102 108 130 142 150 162 184 190 238 264 270 292	1277079397502