Prime p₀= 2377431555977971991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2377430265012732563	0 8 18 20 56 96 126 144 170 188 218 258 294 296 306 314	-1290965239428
SPT(16)	2377430738473627819	0 34 54 90 100 118 138 154 168 184 204 222 232 268 288 322	-817504344172
STPT(10)	2377430879455232297	0 2 12 14 72 74 132 134 144 146	-676522739694
SPT(16)	2377430938305790001	0 42 56 96 108 122 138 180 188 230 246 260 272 312 326 368	-617672181990
STPT(10)	2377431359209936877	0 2 12 14 42 44 72 74 84 86	-196768035114
SPT(16)	2377431465280785833	0 36 80 84 96 104 140 156 314 330 366 374 386 390 434 470	-90697186158
SPT(16)	2377431593045692151	0 2 8 42 66 68 90 96 122 128 150 152 176 210 216 218	37067720160
SPT(16)	2377431842810224097	0 44 50 84 86 120 170 176 204 210 260 294 296 330 336 380	286832252106
SPT(16)	2377432203504241309	0 34 48 70 72 100 112 118 174 180 192 220 222 244 258 292	647526269318
SPT(16)	2377432441331136769	0 52 72 82 90 100 130 132 178 180 210 220 228 238 258 310	885353164778
SPT(16)	2377432644447741467	0 12 14 26 30 80 114 122 144 152 186 236 240 252 254 266	1088469769476