Prime p₀= 2397362404859075747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2397360894596490703	0 34 60 66 90 124 136 144 160 168 180 214 238 244 270 304	-1510262585044
TPT(14)	2397360924422527241	0 2 66 68 90 92 120 122 246 248 276 278 360 362	-1480436548506
SPT(16)	2397361148832909277	0 6 30 46 76 102 154 156 160 162 214 240 270 286 310 316	-1256026166470
SPT(16)	2397361365236784589	0 12 52 88 90 144 234 252 310 328 418 472 474 510 550 562	-1039622291158
STPT(10)	2397361537225497287	0 2 30 32 42 44 54 56 84 86	-867633578460
STPT(10)	2397362026856440121	0 2 30 32 78 80 126 128 156 158	-378002635626
SPT(16)	2397362866968092747	0 12 14 42 80 132 140 150 164 174 182 234 272 300 302 314	462109017000
SPT(16)	2397362888545333483	0 36 48 64 120 180 190 220 234 264 274 334 390 406 418 454	483686257736
SPT(16)	2397363124985721617	0 26 60 62 74 152 156 170 186 200 204 282 294 296 330 356	720126645870
SPT(16)	2397363323404312919	0 12 24 42 102 140 188 192 350 354 402 440 500 518 530 542	918545237172
STPT(12)	2397363531466216529	0 2 30 32 60 62 108 110 138 140 168 170	1126607140782