Prime p₀= 2409624267964425947 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: Josemi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2409622968980707279	0 4 28 30 60 70 72 88 114 130 132 142 172 174 198 202	-1298983718668
SPT(16)	2409623151063711217	0 10 70 112 120 144 150 154 162 166 172 196 204 246 306 316	-1116900714730
SPT(16)	2409623369332107911	0 6 26 48 66 162 188 198 230 240 266 362 380 402 422 428	-898632318036
STPT(10)	2409623408890549121	0 2 6 8 48 50 90 92 96 98	-859073876826
TPT(14)	2409623785956474317	0 2 24 26 102 104 150 152 192 194 222 224 240 242	-482007951630
STPT(10)	2409623869650172919	0 2 78 80 120 122 162 164 240 242	-398314253028
SPT(16)	2409624450168799571	0 38 50 56 66 68 96 116 120 140 168 170 180 186 198 236	182204373624
STPT(10)	2409624561072435989	0 2 18 20 60 62 102 104 120 122	293108010042
SPT(16)	2409624754046906701	0 12 18 28 42 78 118 120 130 132 172 208 222 232 238 250	486082480754
STPT(10)	2409624864535286861	0 2 126 128 168 170 210 212 336 338	596570860914
SPT(16)	2409625591290927089	0 2 42 48 54 78 108 134 168 194 224 248 254 260 300 302	1323326501142