Prime p₀= 1051307909724148169 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: HenkM
db: batch=76, k=10, 2 40 2 16 2

TPT(14)	1051306767673189631	0 2 90 92 126 128 156 158 198 200 216 218 288 290	-1142050958538
STPT(10)	1051306883052357299	0 2 18 20 30 32 42 44 60 62	-1026671790870
STPT(12)	1051306993692484187	0 2 42 44 72 74 150 152 180 182 222 224	-916031663982
SPT(16)	1051307439498462527	0 84 104 134 216 252 266 294 302 330 344 380 462 492 512 596	-470225685642
SPT(16)	1051307514325715029	0 10 42 52 78 84 88 144 238 294 298 304 330 340 372 382	-395398433140
STPT(12)	1051307661018010769	0 2 60 62 72 74 90 92 102 104 162 164	-248706137400
STPT(10)	1051308025328815337	0 2 30 32 72 74 114 116 144 146	115604667168
SPT(16)	1051308459295689653	0 6 90 120 126 188 198 218 288 308 318 380 386 416 500 506	549571541484
STPT(10)	1051309121470807007	0 2 12 14 72 74 132 134 144 146	1211746658838
STPT(10)	1051309142933184137	0 2 30 32 60 62 90 92 120 122	1233209035968
SPT(16)	1051309168569290791	0 10 28 42 58 66 88 102 136 150 172 180 196 210 228 238	1258845142622