Prime p₀= 1951504170794509997 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	1951503294271850437	0 10 30 34 66 82 96 100 126 130 144 160 192 196 216 226	-876522659560
TPT(14)	1951503528159184157	0 2 30 32 42 44 54 56 132 134 264 266 312 314	-642635325840
SPT(16)	1951503713227842929	0 24 68 72 78 128 134 140 192 198 204 254 260 264 308 332	-457566667068
STPT(10)	1951503798079049969	0 2 18 20 30 32 42 44 60 62	-372715460028
TPT(14)	1951503806365421849	0 2 60 62 162 164 168 170 270 272 288 290 312 314	-364429088148
SPT(16)	1951504079233445887	0 22 34 36 52 54 96 132 154 190 232 234 250 252 264 286	-91561064110
SPT(16)	1951504281481115861	0 38 68 108 128 152 162 198 230 266 276 300 320 360 390 428	110686605864
STPT(10)	1951504681517811317	0 2 60 62 72 74 84 86 144 146	510723301320
SPT(16)	1951504825821944977	0 22 64 70 100 136 154 166 180 192 210 246 276 282 324 346	655027434980
SPT(16)	1951504826678770609	0 4 28 54 60 78 114 120 148 154 190 208 214 240 264 268	655884260612
STPT(10)	1951504865853032591	0 2 6 8 48 50 90 92 96 98	695058522594