Prime p₀= 798891181281285877 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 4 8 58 12 32 10 6 24 26 24 6 10 32 12 58 8 4 (?)
a_n: 0 4 12 70 82 114 124 130 154 180 204 210 220 252 264 322 330 334
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 334
Found by: GLeeM
db: batch=73, k=18, 4 8 58 12 32 10 6 24 26

TPT(14)	798889910108729429	0 2 12 14 18 20 48 50 72 74 180 182 210 212	-1271172556448
STPT(10)	798890042572124351	0 2 30 32 60 62 90 92 120 122	-1138709161526
SPT(16)	798890410496015179	0 28 34 42 52 94 108 118 144 154 168 210 220 228 234 262	-770785270698
SPT(16)	798890431139605193	0 44 54 74 86 104 120 174 266 320 336 354 366 386 396 440	-750141680684
SPT(16)	798890889227138941	0 6 18 36 46 52 58 88 90 120 126 132 142 160 172 178	-292054146936
SPT(16)	798890932529304677	0 12 32 54 60 80 90 122 132 164 174 194 200 222 242 254	-248751981200
STPT(10)	798891480866675657	0 2 24 26 42 44 60 62 84 86	299585389780
SPT(16)	798891970141150213	0 58 100 126 160 184 186 210 214 238 240 264 298 324 366 424	788859864336
STPT(10)	798892011014459597	0 2 42 44 72 74 102 104 144 146	829733173720
SPT(16)	798892059048107179	0 22 24 30 60 78 88 102 190 204 214 232 262 268 270 292	877766821302
STPT(10)	798892085812928207	0 2 60 62 72 74 84 86 144 146	904531642330