Prime p₀= 2678371902234385067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2678370007358245097	0 2 60 62 72 74 84 86 144 146	-1894876139970
SPT(16)	2678370022569129761	0 48 60 98 116 122 132 168 200 236 246 252 270 308 320 368	-1879665255306
SPT(16)	2678370852861668227	0 16 30 46 72 82 90 160 222 292 300 310 336 352 366 382	-1049372716840
SPT(16)	2678371095605680313	0 14 24 56 80 108 164 230 234 300 356 384 408 440 450 464	-806628704754
STPT(10)	2678371191678548447	0 2 42 44 72 74 102 104 144 146	-710555836620
SPT(16)	2678371352648263751	0 8 26 68 92 96 120 140 168 188 212 216 240 282 300 308	-549586121316
TPT(14)	2678371957144587731	0 2 30 32 60 62 210 212 360 362 366 368 420 422	54910202664
SPT(13)	2678372034056172851	0 36 60 66 78 90 168 246 258 270 276 300 336	131821787784
STPT(10)	2678372183795512049	0 2 18 20 30 32 42 44 60 62	281561126982
STPT(10)	2678372383762443629	0 2 18 20 30 32 42 44 60 62	481528058562
SPT(16)	2678372501407041139	0 4 10 30 54 78 108 120 172 184 214 238 262 282 288 292	599172656072