Prime p₀= 2511589905205695593 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 16 12 42 38 22 12 44 12 22 38 42 12 16 38 (?)
a_n: 0 38 54 66 108 146 168 180 224 236 258 296 338 350 366 404
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: 404
Found by: Groo
db: batch=82, k=16, 38 16 12 42 38 22 12 44

STPT(10)	2511588714878089499	0 2 78 80 120 122 162 164 240 242	-1190327606094
TPT(14)	2511588846450999221	0 2 30 32 96 98 126 128 156 158 216 218 228 230	-1058754696372
STPT(10)	2511589017417908957	0 2 60 62 72 74 84 86 144 146	-887787786636
SPT(16)	2511589365088205287	0 30 36 64 96 112 114 120 166 172 174 190 222 250 256 286	-540117490306
STPT(10)	2511589493497168697	0 2 30 32 42 44 54 56 84 86	-411708526896
STPT(10)	2511589846882258739	0 2 42 44 60 62 78 80 120 122	-58323436854
STPT(10)	2511589927761001457	0 2 30 32 42 44 54 56 84 86	22555305864
SPT(16)	2511590193009825559	0 10 22 30 34 42 58 64 78 84 100 108 112 120 132 142	287804129966
STPT(12)	2511590355938093567	0 2 12 14 54 56 90 92 132 134 144 146	450732397974
SPT(16)	2511590603018540257	0 16 64 76 82 90 166 184 222 240 316 324 330 342 390 406	697812844664
STPT(10)	2511590649247525091	0 2 36 38 78 80 120 122 156 158	744041829498