Prime p₀= 1004954557816673701 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 22 2 36 4 2 60 4 60 2 4 36 2 22 6 (?)
a_n: 0 6 28 30 66 70 72 132 136 196 198 202 238 240 262 268
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: 268
Found by: HenkM
db: batch=76, k=16, 6 22 2 36 4 2 60 4

SPT(16)	1004952507754656911	0 20 108 116 140 182 186 192 206 212 216 258 282 290 378 398	-2050062016790
STPT(10)	1004953036423893377	0 2 60 62 72 74 84 86 144 146	-1521392780324
SPT(16)	1004953162397126191	0 22 40 72 88 112 172 228 250 306 366 390 406 438 456 478	-1395419547510
TPT(14)	1004953503427202669	0 2 30 32 72 74 132 134 138 140 222 224 228 230	-1054389471032
STPT(12)	1004953617521927849	0 2 12 14 18 20 222 224 228 230 240 242	-940294745852
SPT(16)	1004953627776767183	0 26 30 48 86 98 126 140 144 158 186 198 236 254 258 284	-930039906518
SPT(16)	1004954684724415301	0 2 42 48 50 78 90 120 128 158 170 198 200 206 246 248	126907741600
STPT(10)	1004954684844352157	0 2 24 26 42 44 60 62 84 86	127027678456
STPT(10)	1004954989440681449	0 2 18 20 30 32 42 44 60 62	431624007748
SPT(16)	1004954995996892879	0 50 54 72 120 134 138 158 204 224 228 242 290 308 312 362	438180219178
SPT(16)	1004955064380985373	0 14 36 56 78 80 110 144 200 234 264 266 288 308 330 344	506564311672