Prime p₀= 2021058739652965697 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: Dingo
db: batch=80, k=10, 2 22 2 16 2

SPT(18)	2021057210446774369	0 24 28 42 78 84 108 130 148 174 192 214 238 244 280 294 298 322	-1529206191328
SPT(16)	2021057438161008619	0 22 28 54 102 108 130 142 150 162 184 190 238 264 270 292	-1301491957078
SPT(16)	2021057478956777747	0 12 54 56 66 80 96 104 132 140 156 170 180 182 224 236	-1260696187950
SPT(16)	2021057766298663567	0 4 16 34 114 144 166 186 280 300 322 352 432 450 462 466	-973354302130
SPT(16)	2021057830916501921	0 12 18 38 42 66 126 180 188 242 302 326 330 350 356 368	-908736463776
SPT(16)	2021058554067119219	0 24 30 42 90 92 98 104 228 234 240 242 290 302 308 332	-185585846478
SPT(18)	2021058981159324383	0 8 116 168 170 200 260 354 356 378 380 474 534 564 566 618 726 734	241506358686
STPT(10)	2021059085004374939	0 2 18 20 30 32 42 44 60 62	345351409242
STPT(10)	2021059086634757357	0 2 24 26 42 44 60 62 84 86	346981791660
STPT(10)	2021059636465727129	0 2 18 20 30 32 42 44 60 62	896812761432
TPT(14)	2021060553124036811	0 2 30 32 60 62 78 80 126 128 258 260 330 332	1813471071114