Prime p₀= 109820385574600991 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 18 12 34 6 8 76 8 6 34 12 18 8 (?)
a_n: 0 8 26 38 72 78 86 162 170 176 210 222 240 248
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: 248
Found by: Tomáš Brada
db: batch=67, k=14, 8 18 12 34 6 8 76

SPT(14)	109820322939306451	0 10 36 40 42 52 72 76 96 106 108 112 138 148	-62635294540
SPT(14)	109820344411773349	0 12 40 48 70 82 90 160 168 180 202 210 238 250	-41162827642
SPT(14)	109820347387926037	0 10 24 70 100 114 154 156 196 210 240 286 300 310	-38186674954
SPT(14)	109820349561193573	0 58 84 144 150 168 178 186 196 214 220 280 306 364	-36013407418
SPT(14)	109820380265858567	0 2 26 30 42 50 86 96 132 140 152 156 180 182	-5308742424
SPT(14)	109820381581622389	0 60 100 118 142 144 184 198 238 240 264 282 322 382	-3992978602
TPT(12)	109820399361932249	0 2 42 44 48 50 168 170 222 224 240 242	13787331258
SPT(14)	109820401674918019	0 54 70 82 112 114 142 222 250 252 282 294 310 364	16100317028
SPT(14)	109820419834024909	0 10 18 22 72 78 84 88 94 100 150 154 162 172	34259423918
SPT(14)	109820431151422463	0 8 30 36 54 66 80 84 98 110 128 134 156 164	45576821472
STPT(10)	109820433036535997	0 2 12 14 42 44 72 74 84 86	47461935006