Prime p₀= 2397338619861374009 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=81, k=10, 2 16 2 10 2

TPT(14)	2397337717421751821	0 2 66 68 78 80 138 140 528 530 630 632 720 722	-902439622188
SPT(16)	2397337760510809849	0 82 124 132 144 168 172 234 238 300 304 328 340 348 390 472	-859350564160
STPT(10)	2397337935479587151	0 2 6 8 18 20 30 32 36 38	-684381786858
SPT(16)	2397338258917888081	0 28 76 90 102 138 168 178 210 220 250 286 298 312 360 388	-360943485928
STPT(10)	2397338497950023009	0 2 48 50 90 92 132 134 180 182	-121911351000
SPT(16)	2397338589234567413	0 44 86 110 164 180 194 200 204 210 224 240 294 318 360 404	-30626806596
SPT(16)	2397338850295173329	0 32 42 44 98 114 140 150 242 252 278 294 348 350 360 392	230433799320
SPT(16)	2397338944583910451	0 12 28 42 70 132 166 196 222 252 286 348 376 390 406 418	324722536442
SPT(16)	2397339138688641661	0 10 42 66 90 100 106 120 232 246 252 262 286 310 342 352	518827267652
SPT(18)	2397339481855640717	0 6 20 36 44 90 92 96 120 146 170 174 176 222 230 246 260 266	861994266708
STPT(10)	2397339738569665817	0 2 54 56 72 74 90 92 144 146	1118708291808