Prime p₀= 727257559825304447 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Theadalus
db: batch=73, k=10, 2 28 2 28 2

SPT(18)	727256343648734953	0 40 60 70 118 138 160 210 228 238 256 306 328 348 396 406 426 466	-1216176569494
SPT(16)	727256492411768509	0 4 24 60 72 102 112 124 168 180 190 220 232 268 288 292	-1067413535938
STPT(10)	727257203939896109	0 2 18 20 30 32 42 44 60 62	-355885408338
SPT(16)	727257277059019013	0 38 48 60 68 108 116 150 224 258 266 306 314 326 336 374	-282766285434
SPT(16)	727257295434824513	0 14 30 38 80 116 126 146 168 188 198 234 276 284 300 314	-264390479934
STPT(10)	727257480878017091	0 2 36 38 78 80 120 122 156 158	-78947287356
SPT(16)	727258185421421587	0 10 22 24 64 66 76 84 142 150 160 162 202 204 216 226	625596117140
TPT(16)	727258511166421769	0 2 12 14 120 122 162 164 168 170 210 212 342 344 390 392	951341117322
SPT(16)	727258522342871513	0 44 54 78 98 128 158 176 228 246 276 306 326 350 360 404	962517567066
STPT(10)	727258526907347957	0 2 30 32 42 44 54 56 84 86	967082043510
SPT(16)	727258796921726023	0 54 66 70 78 96 114 136 168 190 208 226 234 238 250 304	1237096421576