Prime p₀= 2126372685360610637 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)	2126371202465180599	0 12 22 42 60 120 148 192 250 294 322 382 400 420 430 442	-1482895430038
STPT(10)	2126371300179430349	0 2 12 14 90 92 168 170 180 182	-1385181180288
TPT(14)	2126371659482844041	0 2 36 38 48 50 168 170 210 212 240 242 300 302	-1025877766596
SPT(16)	2126372199728356793	0 36 48 54 56 98 104 110 114 120 126 168 170 176 188 224	-485632253844
SPT(16)	2126372363038749367	0 12 40 54 64 72 100 120 154 174 202 210 220 234 262 274	-322321861270
SPT(16)	2126372556041398543	0 4 16 30 90 114 118 120 154 156 160 184 244 258 270 274	-129319212094
STPT(10)	2126372927999685941	0 2 36 38 78 80 120 122 156 158	242639075304
SPT(16)	2126373084516858173	0 24 66 140 150 168 204 210 254 260 296 314 324 398 440 464	399156247536
STPT(10)	2126373095988395921	0 2 6 8 18 20 30 32 36 38	410627785284
STPT(10)	2126373485850268901	0 2 36 38 78 80 120 122 156 158	800489658264
STPT(10)	2126374379163427571	0 2 6 8 48 50 90 92 96 98	1693802816934