Prime p₀= 2035546927206440909 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2035545648607229501	0 2 138 140 150 152 156 158 288 290 306 308 348 350	-1278599211408
STPT(12)	2035545918229455209	0 2 42 44 48 50 132 134 138 140 180 182	-1008976985700
SPT(16)	2035546019098772273	0 14 30 80 108 150 176 186 188 198 224 266 294 344 360 374	-908107668636
TPT(14)	2035546232614105829	0 2 60 62 168 170 210 212 228 230 252 254 288 290	-694592335080
SPT(16)	2035546330363188991	0 66 76 78 90 108 132 138 160 166 190 208 220 222 232 298	-596843251918
STPT(10)	2035546434148093577	0 2 60 62 72 74 84 86 144 146	-493058347332
STPT(10)	2035547097607586999	0 2 18 20 60 62 102 104 120 122	170401146090
STPT(10)	2035547239959232091	0 2 120 122 138 140 156 158 276 278	312752791182
SPT(16)	2035547439416002691	0 12 56 132 168 216 258 278 300 320 362 410 446 522 566 578	512209561782
SPT(16)	2035547785694056919	0 18 48 80 132 140 150 158 174 182 192 200 252 284 314 332	858487616010
SPT(16)	2035547845044162857	0 36 44 50 140 200 254 314 366 426 480 540 630 636 644 680	917837721948