Prime p₀= 1012110981431743967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: stoneageman
db: batch=76, k=10, 2 52 2 16 2

SPT(16)	1012110310987535369	0 30 60 68 80 102 164 168 194 198 260 282 294 302 332 362	-670444208598
STPT(10)	1012110345456740729	0 2 42 44 90 92 138 140 180 182	-635975003238
SPT(16)	1012110406949873083	0 10 34 46 66 130 184 196 198 210 264 328 348 360 384 394	-574481870884
STPT(10)	1012110515846470277	0 2 30 32 42 44 54 56 84 86	-465585273690
SPT(16)	1012110757411526011	0 12 18 40 42 46 82 108 130 156 192 196 198 220 226 238	-224020217956
SPT(16)	1012110955228491121	0 16 82 106 148 196 216 222 346 352 372 420 462 486 552 568	-26203252846
TPT(14)	1012111304521265327	0 2 12 14 84 86 210 212 234 236 330 332 372 374	323089521360
SPT(16)	1012111345904527933	0 10 30 36 64 100 114 124 126 136 150 186 214 220 240 250	364472783966
TPT(14)	1012111355838204077	0 2 42 44 54 56 84 86 150 152 210 212 222 224	374406460110
STPT(12)	1012111860951180959	0 2 12 14 30 32 72 74 90 92 102 104	879519436992
SPT(16)	1012112067853686361	0 22 42 78 90 106 108 132 136 160 162 178 190 226 246 268	1086421942394