Prime p₀= 1958812405297157099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	1958810284703748211	0 28 40 42 126 142 150 180 208 238 246 262 346 348 360 388	-2120593408888
TPT(14)	1958810645132267471	0 2 18 20 96 98 150 152 156 158 198 200 336 338	-1760164889628
STPT(10)	1958810824987436267	0 2 12 14 42 44 72 74 84 86	-1580309720832
STPT(10)	1958811357186440297	0 2 30 32 72 74 114 116 144 146	-1048110716802
STPT(10)	1958811965580846281	0 2 6 8 48 50 90 92 96 98	-439716310818
SPT(16)	1958812141214773583	0 56 74 78 186 198 224 258 266 300 326 338 446 450 468 524	-264082383516
SPT(16)	1958812540581602473	0 40 78 84 88 94 108 124 150 166 180 186 190 196 234 274	135284445374
SPT(16)	1958812925564993359	0 24 52 54 58 82 88 102 220 234 240 264 268 270 298 322	520267836260
STPT(10)	1958813026074941747	0 2 60 62 72 74 84 86 144 146	620777784648
SPT(16)	1958813140934051651	0 2 12 72 126 168 176 186 212 222 230 272 326 386 396 398	735636894552
STPT(10)	1958813442756772487	0 2 54 56 72 74 90 92 144 146	1037459615388