Prime p₀= 2913679116826318829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2913677760893461213	0 4 18 66 94 168 198 210 214 226 256 330 358 406 420 424	-1355932857616
STPT(10)	2913678174222571331	0 2 36 38 78 80 120 122 156 158	-942603747498
SPT(16)	2913678316431659317	0 24 90 102 132 136 156 160 186 190 210 214 244 256 322 346	-800394659512
SPT(16)	2913678359307338041	0 58 60 130 160 168 222 250 300 328 382 390 420 490 492 550	-757518980788
SPT(16)	2913678665666914253	0 8 20 30 38 44 80 98 120 138 174 180 188 198 210 218	-451159404576
TPT(14)	2913678676958825597	0 2 24 26 84 86 90 92 120 122 132 134 162 164	-439867493232
STPT(10)	2913679339712194379	0 2 18 20 30 32 42 44 60 62	222885875550
SPT(16)	2913679355680897519	0 4 72 78 88 100 108 112 150 154 162 174 184 190 258 262	238854578690
SPT(16)	2913679358947265879	0 20 42 104 122 132 168 192 200 224 260 270 288 350 372 392	242120947050
SPT(16)	2913679596046814879	0 98 140 162 170 174 204 240 242 278 308 312 320 342 384 482	479220496050
STPT(10)	2913679644762430931	0 2 30 32 78 80 126 128 156 158	527936112102