Prime p₀= 2165001120023193797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Landjunge
db: batch=81, k=10, 2 70 2 28 2

TPT(14)	2164998879147045341	0 2 36 38 78 80 96 98 138 140 156 158 306 308	-2240876148456
SPT(16)	2164999354777063373	0 66 104 128 156 158 164 186 188 210 216 218 246 270 308 374	-1765246130424
TPT(14)	2164999371714723317	0 2 54 56 90 92 144 146 210 212 270 272 294 296	-1748308470480
SPT(16)	2164999689219005159	0 2 68 98 108 122 138 152 210 224 240 254 264 294 360 362	-1430804188638
SPT(16)	2164999766386376749	0 70 82 130 168 180 208 238 342 372 400 412 450 498 510 580	-1353636817048
TPT(16)	2164999831189886021	0 2 36 38 168 170 210 212 216 218 246 248 270 272 288 290	-1288833307776
SPT(16)	2165001317627545483	0 10 34 36 114 118 160 184 210 234 276 280 358 360 384 394	197604351686
STPT(10)	2165001371846629649	0 2 48 50 90 92 132 134 180 182	251823435852
STPT(10)	2165001411117363989	0 2 18 20 30 32 42 44 60 62	291094170192
SPT(16)	2165001510354038329	0 4 28 42 52 78 94 108 124 138 154 180 190 204 228 232	390330844532
STPT(10)	2165001693722678219	0 2 48 50 90 92 132 134 180 182	573699484422