Prime p₀= 3011419070891045987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: conf [MM]
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	3011416559997543043	0 16 48 54 58 84 120 126 238 244 280 306 310 316 348 364	-2510893502944
SPT(16)	3011416561486170283	0 4 34 66 76 96 124 150 154 180 208 228 238 270 300 304	-2509404875704
SPT(16)	3011416702324467233	0 18 38 56 80 150 168 170 186 188 206 276 300 318 338 356	-2368566578754
SPT(16)	3011416867332251659	0 24 28 40 42 64 84 112 150 178 198 220 222 234 238 262	-2203558794328
STPT(10)	3011417644384948541	0 2 120 122 138 140 156 158 276 278	-1426506097446
SPT(16)	3011418768724809319	0 60 94 162 174 198 220 232 240 252 274 298 310 378 412 472	-302166236668
STPT(10)	3011419920863462369	0 2 18 20 30 32 42 44 60 62	849972416382
STPT(10)	3011420383910599667	0 2 30 32 42 44 54 56 84 86	1313019553680
STPT(10)	3011420405825232629	0 2 42 44 90 92 138 140 180 182	1334934186642
TPT(14)	3011420574279697751	0 2 78 80 90 92 108 110 138 140 150 152 216 218	1503388651764
STPT(10)	3011421076129201259	0 2 18 20 30 32 42 44 60 62	2005238155272