Prime p₀= 968890837150966781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	968889483881817133	0 54 94 96 108 136 150 166 168 184 198 226 238 240 280 334	-1353269149648
STPT(12)	968889767244580547	0 2 42 44 60 62 114 116 132 134 174 176	-1069906386234
SPT(16)	968889770577033889	0 12 24 28 64 108 112 124 138 150 154 198 234 238 250 262	-1066573932892
SPT(16)	968890029099050477	0 12 14 30 66 84 86 104 132 150 152 170 206 222 224 236	-808051916304
STPT(10)	968890291811941517	0 2 12 14 132 134 252 254 264 266	-545339025264
TPT(14)	968890552243081577	0 2 72 74 282 284 300 302 324 326 420 422 504 506	-284907885204
SPT(16)	968891122264384807	0 22 34 46 70 82 102 124 132 154 174 186 210 222 234 256	285113418026
STPT(10)	968891289012997307	0 2 24 26 42 44 60 62 84 86	451862030526
SPT(16)	968891419793952173	0 36 50 54 68 74 164 168 176 180 270 276 290 294 308 344	582642985392
SPT(16)	968891602620072377	0 2 12 60 86 114 192 204 242 254 332 360 386 434 444 446	765469105596
STPT(10)	968891646696636917	0 2 42 44 72 74 102 104 144 146	809545670136