Prime p₀= 1458594622177968131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 70 2 70 2 34 2 (?)
a_n: 0 2 36 38 108 110 180 182 216 218
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: 218
Found by: Theadalus
db: batch=78, k=10, 2 34 2 70 2

SPT(16)	1458593744337864793	0 18 28 96 130 154 240 250 294 304 390 414 448 516 526 544	-877840103338
TPT(16)	1458593777420057849	0 2 42 44 48 50 72 74 102 104 132 134 180 182 312 314	-844757910282
STPT(10)	1458593831867103959	0 2 18 20 30 32 42 44 60 62	-790310864172
STPT(10)	1458593994699284039	0 2 42 44 60 62 78 80 120 122	-627478684092
TPT(14)	1458594320730471677	0 2 30 32 54 56 210 212 240 242 282 284 294 296	-301447496454
SPT(16)	1458594608940512539	0 28 58 70 90 100 108 118 150 160 168 178 198 210 240 268	-13237455592
SPT(16)	1458594990843539657	0 12 20 42 54 66 92 162 194 264 290 302 314 336 344 356	368665571526
STPT(10)	1458595104290480909	0 2 18 20 30 32 42 44 60 62	482112512778
TPT(14)	1458595522126989677	0 2 72 74 252 254 300 302 312 314 354 356 384 386	899949021546
SPT(16)	1458595637355945863	0 20 24 26 48 66 74 98 186 210 218 236 258 260 264 284	1015177977732
STPT(10)	1458595717665170141	0 2 30 32 78 80 126 128 156 158	1095487202010