Prime p₀= 1235136195569018357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: HenkM
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1235135599575169667	0 6 30 44 72 84 152 176 180 204 272 284 312 326 350 356	-595993848690
STPT(10)	1235135613909009077	0 2 42 44 72 74 102 104 144 146	-581660009280
STPT(10)	1235135674365143387	0 2 42 44 72 74 102 104 144 146	-521203874970
STPT(10)	1235135827140018239	0 2 18 20 60 62 102 104 120 122	-368429000118
SPT(16)	1235135850933827317	0 10 24 30 46 94 96 114 166 184 186 234 250 256 270 280	-344635191040
STPT(10)	1235136178394781371	0 2 36 38 78 80 120 122 156 158	-17174236986
SPT(16)	1235136241120414483	0 30 48 58 60 76 78 90 154 166 168 184 186 196 214 244	45551396126
STPT(10)	1235136264669399137	0 2 42 44 132 134 222 224 264 266	69100380780
SPT(16)	1235136366363403073	0 56 114 138 174 180 198 206 348 356 374 380 416 440 498 554	170794384716
SPT(16)	1235136490653735581	0 6 8 38 42 66 108 132 176 200 242 266 270 300 302 308	295084717224
SPT(16)	1235136509126977073	0 36 44 60 78 128 144 194 210 260 276 326 344 360 368 404	313557958716