Prime p₀= 2126710279015404527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2126707387339902517	0 12 24 64 150 166 196 232 264 300 330 346 432 472 484 496	-2891675502010
SPT(16)	2126707426355587267	0 30 36 70 76 124 150 154 162 166 192 240 246 280 286 316	-2852659817260
SPT(16)	2126707684019379751	0 30 72 112 138 156 168 208 210 250 262 280 306 346 388 418	-2594996024776
STPT(10)	2126709817526632277	0 2 30 32 60 62 90 92 120 122	-461488772250
SPT(16)	2126710011895494329	0 72 98 108 110 120 132 210 302 380 392 402 404 414 440 512	-267119910198
SPT(16)	2126710241372835803	0 6 24 44 66 80 110 126 128 144 174 188 210 230 248 254	-37642568724
SPT(16)	2126710687471017731	0 12 20 42 116 140 150 152 186 188 198 222 296 318 326 338	408455613204
STPT(10)	2126711049747306851	0 2 6 8 48 50 90 92 96 98	770731902324
SPT(16)	2126711187333067327	0 6 16 54 70 82 90 102 124 136 144 156 172 210 220 226	908317662800
SPT(16)	2126711272171636607	0 20 32 56 62 66 80 90 242 252 266 270 276 300 312 332	993156232080
SPT(16)	2126711287222193069	0 2 104 114 150 180 198 210 212 224 242 272 308 318 420 422	1008206788542