Prime p₀= 2377432754524543127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

STPT(10)	2377431555977971991	0 2 36 38 78 80 120 122 156 158	-1198546571136
SPT(16)	2377431593045692151	0 2 8 42 66 68 90 96 122 128 150 152 176 210 216 218	-1161478850976
SPT(16)	2377431842810224097	0 44 50 84 86 120 170 176 204 210 260 294 296 330 336 380	-911714319030
SPT(16)	2377432203504241309	0 34 48 70 72 100 112 118 174 180 192 220 222 244 258 292	-551020301818
SPT(16)	2377432441331136769	0 52 72 82 90 100 130 132 178 180 210 220 228 238 258 310	-313193406358
SPT(16)	2377432644447741467	0 12 14 26 30 80 114 122 144 152 186 236 240 252 254 266	-110076801660
STPT(10)	2377432807339596077	0 2 30 32 42 44 54 56 84 86	52815052950
STPT(10)	2377432860966697379	0 2 18 20 30 32 42 44 60 62	106442154252
SPT(16)	2377432899411731729	0 12 80 102 110 140 144 164 198 218 222 252 260 282 350 362	144887188602
STPT(10)	2377433311755709391	0 2 30 32 60 62 90 92 120 122	557231166264
SPT(16)	2377433369009288069	0 8 42 84 104 110 132 162 200 230 252 258 278 320 354 362	614484744942