Prime p₀= 2377799089758685259 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2377796805284981657	0 2 42 44 54 56 132 134 174 176 210 212 264 266	-2284473703602
SPT(16)	2377797010668597211	0 28 30 46 70 78 96 100 126 130 148 156 180 196 198 226	-2079090088048
TPT(14)	2377797194072445161	0 2 18 20 30 32 156 158 258 260 366 368 456 458	-1895686240098
SPT(16)	2377798004129501071	0 28 40 60 66 82 96 118 150 172 186 202 208 228 240 268	-1085629184188
STPT(10)	2377798112784604421	0 2 6 8 18 20 30 32 36 38	-976974080838
SPT(16)	2377798783616085517	0 30 64 76 106 142 154 156 160 162 174 210 240 252 286 316	-306142599742
SPT(16)	2377799566862885839	0 18 22 78 90 120 144 154 168 178 202 232 244 300 304 322	477104200580
SPT(16)	2377799624965021199	0 48 50 68 92 98 122 134 138 150 174 180 204 222 224 272	535206335940
STPT(10)	2377799846882968559	0 2 18 20 60 62 102 104 120 122	757124283300
SPT(16)	2377800557680837571	0 6 20 38 60 66 116 122 126 132 182 188 210 228 242 248	1467922152312
SPT(16)	2377800689006196197	0 6 30 66 80 90 150 156 176 182 242 252 266 302 326 332	1599247510938