Prime p₀= 3002601519680442467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	3002599643302037243	0 24 44 78 80 108 114 156 188 230 236 264 266 300 320 344	-1876378405224
SPT(16)	3002599644019369091	0 8 38 42 230 246 252 258 260 266 272 288 476 480 510 518	-1875661073376
SPT(16)	3002599840211096357	0 24 26 50 66 96 114 134 156 176 194 224 240 264 266 290	-1679469346110
SPT(13)	3002600317406800931	0 30 42 72 90 132 186 240 282 300 330 342 372	-1202273641536
STPT(10)	3002600892730639169	0 2 12 14 30 32 48 50 60 62	-626949803298
STPT(10)	3002601255655171067	0 2 42 44 72 74 102 104 144 146	-264025271400
STPT(10)	3002601533930057987	0 2 12 14 72 74 132 134 144 146	14249615520
SPT(16)	3002601564823587271	0 10 42 46 76 102 150 160 168 178 226 252 282 286 318 328	45143144804
STPT(10)	3002602227686445479	0 2 18 20 30 32 42 44 60 62	708006003012
SPT(16)	3002602672796808857	0 2 26 42 54 72 90 122 174 206 224 242 254 270 294 296	1153116366390
SPT(16)	3002602905540826417	0 4 34 42 76 120 126 154 162 190 196 240 274 282 312 316	1385860383950