Prime p₀= 1012158035184058949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

TPT(14)	1012157468960065889	0 2 60 62 102 104 108 110 192 194 270 272 312 314	-566223993060
STPT(10)	1012157469046146749	0 2 18 20 30 32 42 44 60 62	-566137912200
STPT(10)	1012157479927338761	0 2 30 32 78 80 126 128 156 158	-555256720188
STPT(10)	1012157556913897871	0 2 36 38 78 80 120 122 156 158	-478270161078
STPT(10)	1012157688064175711	0 2 36 38 78 80 120 122 156 158	-347119883238
STPT(10)	1012157863020843269	0 2 12 14 150 152 288 290 300 302	-172163215680
SPT(16)	1012158207798387911	0 18 56 66 72 78 86 120 128 162 170 176 182 192 230 248	172614328962
SPT(16)	1012158222599397259	0 84 94 130 154 198 222 228 304 310 334 378 402 438 448 532	187415338310
STPT(10)	1012158245272073687	0 2 60 62 72 74 84 86 144 146	210088014738
STPT(10)	1012158336307011737	0 2 30 32 42 44 54 56 84 86	301122952788
SPT(16)	1012158925487361259	0 4 18 60 82 84 88 130 222 264 268 270 292 334 348 352	890303302310