Prime p₀= 2796996725564431277 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: JohnMD
db: batch=82, k=10, 2 28 2 10 2

STPT(12)	2796993014369106437	0 2 24 26 54 56 120 122 150 152 174 176	-3711195324840
SPT(16)	2796994247434094189	0 20 48 80 104 110 122 164 198 240 252 258 282 314 342 362	-2478130337088
STPT(10)	2796995160245692577	0 2 90 92 132 134 174 176 264 266	-1565318738700
SPT(16)	2796995876649367691	0 6 20 30 62 68 72 128 180 236 240 246 278 288 302 308	-848915063586
STPT(10)	2796995919301034147	0 2 30 32 72 74 114 116 144 146	-806263397130
SPT(16)	2796996719818810991	0 32 56 86 110 126 150 152 186 188 212 228 252 282 306 338	-5745620286
STPT(10)	2796997381840344437	0 2 30 32 42 44 54 56 84 86	656275913160
STPT(10)	2796997387762088279	0 2 18 20 30 32 42 44 60 62	662197657002
SPT(16)	2796997633650262247	0 24 30 44 50 62 90 102 104 116 144 156 162 176 182 206	908085830970
SPT(16)	2796997815952452647	0 44 66 146 150 152 212 216 230 234 294 296 300 380 402 446	1090388021370
SPT(16)	2796997816696231229	0 8 68 72 78 152 188 212 228 252 288 362 368 372 432 440	1091131799952