Prime p₀= 11166837536788657 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 66 28 6 26 64 6 8 6 64 26 6 28 66 (?)
a_n: 0 66 94 100 126 190 196 204 210 274 300 306 334 400
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 400
Found by: Matt J.
db: batch=62, k=14, 66 28 6 26 64 6 8

SPT(14)	11166816324557051	0 12 20 42 72 126 132 176 182 236 266 288 296 308	-21212231606
SPT(16)	11166825929685047	0 56 72 96 116 122 140 144 152 156 174 180 200 224 240 296	-11607103610
TPT(12)	11166830379014201	0 2 48 50 78 80 108 110 150 152 168 170	-7157774456
SPT(14)	11166832227467143	0 24 34 66 76 84 108 166 190 198 208 240 250 274	-5309321514
SPT(14)	11166836122226903	0 20 24 68 98 108 164 240 296 306 336 380 384 404	-1414561754
SPT(16)	11166836376417569	0 14 50 92 122 204 234 282 302 350 380 462 492 534 570 584	-1160371088
SPT(14)	11166839731332709	0 30 78 100 112 118 132 190 204 210 222 244 292 322	2194544052
SPT(14)	11166840360230911	0 46 70 90 126 142 160 222 240 256 292 312 336 382	2823442254
TPT(12)	11166845663899019	0 2 42 44 48 50 150 152 162 164 252 254	8127110362
SPT(14)	11166849389206253	0 8 36 44 96 98 110 144 156 158 210 218 246 254	11852417596
SPT(16)	11166859479794701	0 12 18 22 28 40 102 148 180 226 288 300 306 310 316 328	21943006044