Prime p₀= 1147251996043592849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Alnitak2019
db: batch=76, k=10, 2 10 2 76 2

SPT(16)	1147250293055797807	0 6 42 52 120 136 162 196 210 244 270 286 354 364 400 406	-1702987795042
STPT(10)	1147250619507387149	0 2 18 20 30 32 42 44 60 62	-1376536205700
SPT(16)	1147251148465970881	0 6 72 88 90 126 138 142 186 190 202 238 240 256 322 328	-847577621968
SPT(16)	1147251164532682819	0 4 42 130 208 214 220 234 268 282 288 294 372 460 498 502	-831510910030
SPT(16)	1147251276665533867	0 10 36 76 106 126 210 262 300 352 436 456 486 526 552 562	-719378058982
SPT(16)	1147251611704724873	0 68 90 156 168 180 210 216 260 266 296 308 320 386 408 476	-384338867976
SPT(16)	1147252111300635449	0 72 90 104 174 198 204 230 252 278 284 308 378 392 410 482	115257042600
SPT(16)	1147252383481954523	0 8 14 26 86 90 138 144 170 176 224 228 288 300 306 314	387438361674
STPT(10)	1147252401481156427	0 2 30 32 72 74 114 116 144 146	405437563578
STPT(10)	1147252426881818351	0 2 6 8 48 50 90 92 96 98	430838225502
SPT(16)	1147252442219275151	0 2 26 36 60 116 126 132 140 146 156 212 236 246 270 272	446175682302