Prime p₀= 2377724535731359427 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=81, k=10, 2 28 2 10 2

STPT(10)	2377723220717344439	0 2 18 20 30 32 42 44 60 62	-1315014014988
STPT(10)	2377723275371401031	0 2 6 8 48 50 90 92 96 98	-1260359958396
STPT(10)	2377723413389974607	0 2 60 62 72 74 84 86 144 146	-1122341384820
SPT(16)	2377723512951851569	0 18 70 112 114 120 124 142 150 168 172 178 180 222 274 292	-1022779507858
STPT(10)	2377723596224822969	0 2 12 14 30 32 48 50 60 62	-939506536458
SPT(16)	2377724510448257699	0 2 42 50 84 98 108 120 122 134 144 158 192 200 240 242	-25283101728
SPT(16)	2377724591060618167	0 42 60 96 114 124 144 166 330 352 372 382 400 436 454 496	55329258740
STPT(10)	2377724811657785669	0 2 48 50 60 62 72 74 120 122	275926426242
TPT(14)	2377724870919461249	0 2 42 44 138 140 198 200 240 242 258 260 270 272	335188101822
SPT(16)	2377725274931454611	0 8 42 50 56 66 72 78 80 86 92 102 108 116 150 158	739200095184
SPT(16)	2377725561362123263	0 16 30 36 70 76 120 148 168 196 240 246 280 286 300 316	1025630763836