Prime p₀= 1235135827140018239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: HenkM
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1235134552465945343	0 6 56 86 90 120 128 164 210 246 254 284 288 318 368 374	-1274674072896
TPT(14)	1235134670717248529	0 2 60 62 72 74 90 92 138 140 198 200 282 284	-1156422769710
SPT(16)	1235135406570614531	0 8 50 56 66 72 80 92 126 138 146 152 162 168 210 218	-420569403708
SPT(16)	1235135599575169667	0 6 30 44 72 84 152 176 180 204 272 284 312 326 350 356	-227564848572
STPT(10)	1235135613909009077	0 2 42 44 72 74 102 104 144 146	-213231009162
STPT(10)	1235135674365143387	0 2 42 44 72 74 102 104 144 146	-152774874852
SPT(16)	1235135850933827317	0 10 24 30 46 94 96 114 166 184 186 234 250 256 270 280	23793809078
STPT(10)	1235136178394781371	0 2 36 38 78 80 120 122 156 158	351254763132
STPT(10)	1235136195569018357	0 2 24 26 42 44 60 62 84 86	368429000118
SPT(16)	1235136241120414483	0 30 48 58 60 76 78 90 154 166 168 184 186 196 214 244	413980396244
STPT(10)	1235136264669399137	0 2 42 44 132 134 222 224 264 266	437529380898