Prime p₀= 1958672867081282657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

TPT(14)	1958671367006826341	0 2 36 38 48 50 60 62 216 218 330 332 366 368	-1500074456316
SPT(16)	1958671531641024611	0 12 20 38 42 56 110 116 132 138 192 206 210 228 236 248	-1335440258046
SPT(16)	1958671794592170851	0 8 20 42 68 78 86 92 96 102 110 120 146 168 180 188	-1072489111806
SPT(16)	1958672094699877429	0 12 22 28 52 70 78 82 108 112 120 138 162 168 178 190	-772381405228
SPT(16)	1958672471037262577	0 2 36 104 126 134 146 176 210 240 252 260 282 350 384 386	-396044020080
TPT(14)	1958672543774324771	0 2 126 128 150 152 156 158 306 308 318 320 330 332	-323306957886
STPT(10)	1958673430958324417	0 2 30 32 42 44 54 56 84 86	563877041760
SPT(16)	1958673471143524081	0 70 78 118 136 148 232 238 240 246 330 342 360 400 408 478	604062241424
SPT(16)	1958674067998791571	0 30 46 52 58 82 88 112 126 150 156 180 186 192 208 238	1200917508914
SPT(16)	1958674136160074209	0 28 52 100 118 132 204 214 258 268 340 354 372 420 444 472	1269078791552
SPT(16)	1958674208740927499	0 24 30 84 110 182 198 230 282 314 330 402 428 482 488 512	1341659644842