Prime p₀= 40923698736115627 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 20 22 8 16 6 104 6 16 8 22 20 4 (?)
a_n: 0 4 24 46 54 70 76 180 186 202 210 232 252 256
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: 256
Found by: stoneageman
db: batch=65, k=14, 4 20 22 8 16 6 104

SPT(14)	40923672232092869	0 18 30 38 42 102 108 134 140 200 204 212 224 242	-26504022758
SPT(14)	40923672947940859	0 18 42 60 70 102 108 112 118 150 160 178 202 220	-25788174768
SPT(14)	40923680772647417	0 6 20 42 92 96 104 162 170 174 224 246 260 266	-17963468210
SPT(14)	40923686764461157	0 10 24 30 54 72 90 94 112 130 154 160 174 184	-11971654470
SPT(16)	40923693300611699	0 32 68 74 84 92 120 132 140 152 180 188 198 204 240 272	-5435503928
SPT(14)	40923693450417607	0 34 42 76 102 112 114 142 144 154 180 214 222 256	-5285698020
SPT(14)	40923707584450147	0 10 34 42 64 70 90 94 114 120 142 150 174 184	8848334520
SPT(14)	40923716269303837	0 4 30 54 72 120 124 162 166 214 232 256 282 286	17533188210
SPT(14)	40923719891092169	0 20 24 48 50 74 80 102 108 132 134 158 162 182	21154976542
TPT(12)	40923721287338639	0 2 78 80 138 140 162 164 180 182 198 200	22551223012
SPT(14)	40923728917362047	0 42 60 74 80 144 164 240 260 324 330 344 362 404	30181246420