Prime p₀= 4408797535192206197 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG]KidDoesCrunch
db: batch=85, k=10, 2 28 2 10 2

SPT(16)	4408796456219210663	0 6 14 20 26 66 80 86 108 114 128 168 174 180 188 194	-1078972995534
STPT(10)	4408796591764450181	0 2 6 8 18 20 30 32 36 38	-943427756016
SPT(16)	4408796606771303963	0 30 84 86 104 126 144 150 164 170 188 210 228 230 284 314	-928420902234
SPT(16)	4408796936600339341	0 36 66 70 88 90 132 192 196 256 298 300 318 322 352 388	-598591866856
TPT(14)	4408797416335163141	0 2 36 38 78 80 90 92 108 110 120 122 336 338	-118857043056
SPT(18)	4408797436464555271	0 12 16 46 90 96 130 132 142 186 196 198 232 238 282 312 316 328	-98727650926
SPT(16)	4408798536619026071	0 20 26 30 42 68 90 92 216 218 240 266 278 282 288 308	1001426819874
SPT(16)	4408798575422706401	0 26 30 48 80 96 98 138 140 180 182 198 230 248 252 278	1040230500204
STPT(10)	4408798729874306237	0 2 30 32 42 44 54 56 84 86	1194682100040
SPT(16)	4408799155753274531	0 30 32 42 60 90 132 140 162 170 212 242 260 270 272 302	1620561068334
TPT(14)	4408800087746779367	0 2 24 26 30 32 42 44 54 56 60 62 84 86	2552554573170