Prime p₀= 727258185421421587 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 12 2 40 2 10 8 58 8 10 2 40 2 12 10 (?)
a_n: 0 10 22 24 64 66 76 84 142 150 160 162 202 204 216 226
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 226
Found by: Theadalus
db: batch=73, k=16, 10 12 2 40 2 10 8 58

SPT(16)	727256492411768509	0 4 24 60 72 102 112 124 168 180 190 220 232 268 288 292	-1693009653078
STPT(10)	727257203939896109	0 2 18 20 30 32 42 44 60 62	-981481525478
SPT(16)	727257277059019013	0 38 48 60 68 108 116 150 224 258 266 306 314 326 336 374	-908362402574
SPT(16)	727257295434824513	0 14 30 38 80 116 126 146 168 188 198 234 276 284 300 314	-889986597074
STPT(10)	727257480878017091	0 2 36 38 78 80 120 122 156 158	-704543404496
STPT(10)	727257559825304447	0 2 30 32 60 62 90 92 120 122	-625596117140
TPT(16)	727258511166421769	0 2 12 14 120 122 162 164 168 170 210 212 342 344 390 392	325745000182
SPT(16)	727258522342871513	0 44 54 78 98 128 158 176 228 246 276 306 326 350 360 404	336921449926
STPT(10)	727258526907347957	0 2 30 32 42 44 54 56 84 86	341485926370
SPT(16)	727258796921726023	0 54 66 70 78 96 114 136 168 190 208 226 234 238 250 304	611500304436
SPT(16)	727258979229221573	0 24 44 50 54 78 128 138 140 150 200 224 228 234 254 278	793807799986