Prime p₀= 1376587857550020851 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 30 2 4 24 6 20 16 18 30 68 30 18 16 20 6 24 4 2 30 (?)
a_n: 0 30 32 36 60 66 86 102 120 150 218 248 266 282 302 308 332 336 338 368
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 368
Found by: [SG-2W]Kurzer
db: batch=77, k=20, 30 2 4 24 6 20 16 18 30 68

TPT(14)	1376586237453727607	0 2 60 62 102 104 150 152 180 182 222 224 264 266	-1620096293244
SPT(16)	1376586871602778657	0 24 34 76 90 112 142 196 240 294 324 346 360 402 412 436	-985947242194
STPT(10)	1376586991733948177	0 2 30 32 42 44 54 56 84 86	-865816072674
SPT(16)	1376587464239032147	0 16 22 40 64 90 100 126 160 186 196 222 246 264 270 286	-393310988704
STPT(10)	1376587533284942357	0 2 30 32 42 44 54 56 84 86	-324265078494
SPT(16)	1376587698536141887	0 52 60 66 70 82 112 124 132 144 174 186 190 196 204 256	-159013878964
TPT(14)	1376587872613630421	0 2 180 182 288 290 318 320 336 338 378 380 426 428	15063609570
TPT(14)	1376588124946761281	0 2 36 38 78 80 90 92 156 158 228 230 300 302	267396740430
STPT(10)	1376588144145610211	0 2 6 8 48 50 90 92 96 98	286595589360
TPT(14)	1376588194685791931	0 2 138 140 156 158 180 182 198 200 258 260 306 308	337135771080
SPT(16)	1376588307537356279	0 32 44 80 92 108 114 150 182 218 224 240 252 288 300 332	449987335428