Prime p₀= 727258526907347957 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: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	727257295434824513	0 14 30 38 80 116 126 146 168 188 198 234 276 284 300 314	-1231472523444
STPT(10)	727257480878017091	0 2 36 38 78 80 120 122 156 158	-1046029330866
STPT(10)	727257559825304447	0 2 30 32 60 62 90 92 120 122	-967082043510
SPT(16)	727258185421421587	0 10 22 24 64 66 76 84 142 150 160 162 202 204 216 226	-341485926370
TPT(16)	727258511166421769	0 2 12 14 120 122 162 164 168 170 210 212 342 344 390 392	-15740926188
SPT(16)	727258522342871513	0 44 54 78 98 128 158 176 228 246 276 306 326 350 360 404	-4564476444
SPT(16)	727258796921726023	0 54 66 70 78 96 114 136 168 190 208 226 234 238 250 304	270014378066
SPT(16)	727258979229221573	0 24 44 50 54 78 128 138 140 150 200 224 228 234 254 278	452321873616
STPT(10)	727259746431984131	0 2 36 38 78 80 120 122 156 158	1219524636174
SPT(16)	727260114601186259	0 60 62 80 98 104 108 224 378 494 498 504 522 540 542 602	1587693838302
TPT(14)	727260184413049751	0 2 6 8 60 62 90 92 228 230 330 332 336 338	1657505701794