Prime p₀= 2037768714146303231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Landjunge
db: batch=80, k=10, 2 28 2 88 2

SPT(16)	2037766633752906029	0 8 42 50 72 134 152 164 198 210 228 290 312 320 354 362	-2080393397202
SPT(16)	2037766810359937793	0 24 36 54 56 80 96 168 206 278 294 318 320 338 350 374	-1903786365438
TPT(14)	2037767093005757231	0 2 18 20 126 128 150 152 156 158 186 188 228 230	-1621140546000
SPT(16)	2037767357438357117	0 62 114 126 212 264 266 300 356 390 392 444 530 542 594 656	-1356707946114
SPT(16)	2037767646206349293	0 8 26 78 84 144 174 176 228 230 260 320 326 378 396 404	-1067939953938
STPT(10)	2037768088353076991	0 2 6 8 18 20 30 32 36 38	-625793226240
SPT(16)	2037768722065590721	0 6 28 70 96 106 120 172 246 298 312 322 348 390 412 418	7919287490
STPT(10)	2037768942202871399	0 2 18 20 30 32 42 44 60 62	228056568168
STPT(10)	2037769508968483061	0 2 30 32 78 80 126 128 156 158	794822179830
SPT(16)	2037769639876244167	0 6 22 40 60 70 90 112 180 202 222 232 252 270 286 292	925729940936
SPT(16)	2037770026216488043	0 58 60 76 126 174 186 210 214 238 250 298 348 364 366 424	1312070184812