Prime p₀= 2022396122562922619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Ben
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2022395189259385307	0 12 26 50 90 92 120 126 230 236 264 266 306 330 344 356	-933303537312
STPT(10)	2022395236423755041	0 2 30 32 60 62 90 92 120 122	-886139167578
STPT(10)	2022395671219154447	0 2 60 62 72 74 84 86 144 146	-451343768172
SPT(16)	2022395681986986827	0 20 42 72 86 120 126 140 156 170 176 210 224 254 276 296	-440575935792
TPT(14)	2022395958654783287	0 2 102 104 114 116 120 122 132 134 144 146 162 164	-163908139332
SPT(16)	2022396107140252979	0 20 42 48 72 80 98 102 128 132 150 158 182 188 210 230	-15422669640
SPT(16)	2022396327629088487	0 66 82 94 112 124 150 154 192 196 222 234 252 264 280 346	205066165868
STPT(10)	2022396334927860971	0 2 30 32 78 80 126 128 156 158	212364938352
STPT(10)	2022396345074235761	0 2 36 38 78 80 120 122 156 158	222511313142
STPT(10)	2022397234870173617	0 2 30 32 42 44 54 56 84 86	1112307250998
SPT(16)	2022397354311824719	0 28 78 84 102 120 130 138 154 162 172 190 208 214 264 292	1231748902100