Prime p₀= 3018721667312277131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	3018719098582053973	0 16 18 28 30 40 46 60 64 78 84 94 96 106 108 124	-2568730223158
SPT(16)	3018719295357387397	0 66 76 136 166 174 180 184 252 256 262 270 300 360 370 436	-2371954889734
STPT(10)	3018719445151362389	0 2 48 50 90 92 132 134 180 182	-2222160914742
STPT(10)	3018719690006128637	0 2 42 44 72 74 102 104 144 146	-1977306148494
SPT(16)	3018720551348460241	0 72 100 112 156 160 178 202 216 240 258 262 306 318 346 418	-1115963816890
TPT(14)	3018721361327429099	0 2 138 140 180 182 240 242 378 380 390 392 420 422	-305984848032
SPT(16)	3018722081919968873	0 56 80 108 114 120 126 170 234 278 284 290 296 324 348 404	414607691742
SPT(16)	3018722829751669627	0 34 54 60 82 90 96 160 186 250 256 264 286 292 312 346	1162439392496
SPT(16)	3018722880511217287	0 6 72 90 102 114 130 136 150 156 172 184 196 214 280 286	1213198940156
TPT(14)	3018723269144255291	0 2 78 80 150 152 168 170 210 212 246 248 306 308	1601831978160
SPT(16)	3018723452894775511	0 12 40 48 88 106 172 202 216 246 312 330 370 378 406 418	1785582498380