Prime p₀= 1725758291622687977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: Alnitak2019
db: batch=79, k=10, 2 10 2 118 2

TPT(14)	1725757876239650021	0 2 60 62 66 68 156 158 168 170 198 200 228 230	-415383037956
SPT(18)	1725757901762335979	0 20 32 102 150 158 168 228 252 338 362 422 432 440 488 558 570 590	-389860351998
TPT(14)	1725758057368530641	0 2 30 32 96 98 108 110 288 290 456 458 486 488	-234254157336
SPT(16)	1725758068003197023	0 6 8 48 90 104 134 146 168 180 210 224 266 306 308 314	-223619490954
SPT(16)	1725758182975206353	0 74 80 110 116 134 150 164 180 194 210 228 234 264 270 344	-108647481624
STPT(10)	1725758215814257577	0 2 30 32 42 44 54 56 84 86	-75808430400
TPT(14)	1725758479485562241	0 2 30 32 66 68 126 128 150 152 186 188 198 200	187862874264
SPT(16)	1725758490247983643	0 4 34 64 88 96 100 106 138 144 148 156 180 210 240 244	198625295666
STPT(10)	1725759439127893847	0 2 30 32 42 44 54 56 84 86	1147505205870
SPT(16)	1725759470159392103	0 24 56 78 86 116 120 134 150 164 168 198 206 228 260 284	1178536704126
SPT(16)	1725759599773116487	0 30 52 112 150 186 216 220 276 280 310 346 384 444 466 496	1308150428510