Prime p₀= 223392864873994927 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 12 8 16 26 60 58 60 26 16 8 12 4 (?)
a_n: 0 4 16 24 40 66 126 184 244 270 286 294 306 310
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: 310
Found by: Alnitak2019
db: batch=69, k=14, 4 12 8 16 26 60 58

SPT(14)	223392723609800617	0 34 54 64 66 90 120 136 166 190 192 202 222 256	-141264194310
TPT(12)	223392727399547087	0 2 42 44 54 56 90 92 114 116 180 182	-137474447840
SPT(14)	223392732950729897	0 14 24 62 80 84 92 162 170 174 192 230 240 254	-131923265030
TPT(12)	223392733629582677	0 2 24 26 42 44 114 116 144 146 180 182	-131244412250
TPT(12)	223392807022149761	0 2 6 8 36 38 66 68 78 80 216 218	-57851845166
SPT(14)	223392835637396353	0 4 10 34 40 54 76 144 166 180 186 210 216 220	-29236598574
SPT(14)	223392874001597939	0 14 72 114 132 140 144 170 174 182 200 242 300 314	9127603012
SPT(14)	223392874824730447	0 12 46 64 70 82 100 126 144 156 162 180 214 226	9950735520
SPT(14)	223392878524836437	0 20 26 152 156 174 224 312 362 380 384 510 516 536	13650841510
TPT(12)	223392919536655331	0 2 78 80 138 140 156 158 180 182 210 212	54662660404
SPT(16)	223392947567675653	0 4 10 40 48 70 108 124 180 196 234 256 264 294 300 304	82693680726