Prime p₀= 2259058195791234119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(18)	2259056849475366979	0 22 64 82 108 124 150 168 178 234 244 262 288 304 330 348 390 412	-1346315867140
STPT(10)	2259057218063297777	0 2 30 32 72 74 114 116 144 146	-977727936342
TPT(14)	2259057280590520559	0 2 42 44 78 80 132 134 240 242 312 314 342 344	-915200713560
SPT(16)	2259057647804266973	0 30 66 86 104 188 200 206 258 264 276 360 378 398 434 464	-547986967146
TPT(14)	2259057866706480557	0 2 84 86 180 182 210 212 240 242 252 254 300 302	-329084753562
STPT(10)	2259058049483447699	0 2 12 14 90 92 168 170 180 182	-146307786420
STPT(10)	2259058440360385757	0 2 30 32 60 62 90 92 120 122	244569151638
SPT(16)	2259058913841645529	0 28 34 132 138 174 210 220 252 262 298 334 340 438 444 472	718050411410
STPT(10)	2259059007017739107	0 2 30 32 42 44 54 56 84 86	811226504988
SPT(16)	2259059076099489383	0 24 54 56 66 96 114 126 128 140 158 188 198 200 230 254	880308255264
SPT(16)	2259059145734432779	0 34 52 100 108 114 118 124 168 174 178 184 192 240 258 292	949943198660