Prime p₀= 3015823796102597267 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: ginga
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	3015820297383022057	0 22 60 76 82 102 112 126 130 144 154 174 180 196 234 256	-3498719575210
SPT(16)	3015820851273283253	0 26 30 56 96 110 114 120 134 140 144 158 198 224 228 254	-2944829314014
TPT(14)	3015821213273688647	0 2 102 104 330 332 384 386 414 416 462 464 480 482	-2582828908620
STPT(10)	3015821471256618719	0 2 30 32 60 62 90 92 120 122	-2324845978548
TPT(14)	3015822831624760427	0 2 72 74 180 182 252 254 270 272 294 296 312 314	-964477836840
SPT(16)	3015823078935854177	0 14 20 26 56 72 152 162 194 204 284 300 330 336 342 356	-717166743090
SPT(16)	3015823851294165523	0 40 96 126 198 204 234 240 274 280 310 316 388 418 474 514	55191568256
TPT(14)	3015824379163821767	0 2 42 44 90 92 150 152 372 374 414 416 462 464	583061224500
SPT(16)	3015824553575340817	0 4 30 60 70 90 94 102 244 252 256 276 286 316 342 346	757472743550
SPT(16)	3015824559483356527	0 34 40 64 70 84 90 126 154 190 196 210 216 240 246 280	763380759260
STPT(10)	3015825127218263819	0 2 18 20 30 32 42 44 60 62	1331115666552