Prime p₀= 2022401582031754739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=80, k=10, 2 10 2 16 2

TPT(14)	2022400550975383721	0 2 30 32 48 50 60 62 126 128 156 158 216 218	-1031056371018
STPT(10)	2022400696177465577	0 2 30 32 42 44 54 56 84 86	-885854289162
SPT(16)	2022400966575140401	0 40 48 90 112 148 180 210 418 448 480 516 538 580 588 628	-615456614338
SPT(16)	2022401135999918363	0 18 56 60 78 96 104 134 180 210 218 236 254 258 296 314	-446031836376
STPT(10)	2022401261914375721	0 2 36 38 78 80 120 122 156 158	-320117379018
SPT(16)	2022401318848678057	0 6 54 64 96 114 124 156 160 192 202 220 252 262 310 316	-263183076682
SPT(16)	2022402156442516403	0 36 74 80 86 144 156 176 198 218 230 288 294 300 338 374	574410761664
TPT(14)	2022402161199667127	0 2 60 62 192 194 312 314 324 326 402 404 420 422	579167912388
SPT(16)	2022402225029233591	0 42 46 70 76 118 126 136 162 172 180 222 228 252 256 298	642997478852
SPT(16)	2022402273179304881	0 30 96 116 138 146 168 170 198 200 222 230 252 272 338 368	691147550142
STPT(10)	2022403424874131249	0 2 18 20 30 32 42 44 60 62	1842842376510