Prime p₀= 1001335714213506827 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 56 16 2 22 18 2 66 28 2 22 2 28 66 2 18 22 2 16 56 (?)
a_n: 0 56 72 74 96 114 116 182 210 212 234 236 264 330 332 350 372 374 390 446
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: 446
Found by: Theadalus
db: batch=76, k=20, 56 16 2 22 18 2 66 28 2 22

SPT(16)	1001334439957623389	0 18 24 44 48 60 104 114 158 168 212 224 228 248 254 272	-1274255883438
STPT(10)	1001334580130539997	0 2 24 26 42 44 60 62 84 86	-1134082966830
SPT(16)	1001334669227903053	0 16 84 108 124 138 208 270 274 336 406 420 436 460 528 544	-1044985603774
STPT(10)	1001334899024644577	0 2 30 32 42 44 54 56 84 86	-815188862250
SPT(16)	1001335132478896463	0 8 26 36 54 56 66 78 86 98 108 110 128 138 156 164	-581734610364
STPT(10)	1001335456800349301	0 2 36 38 78 80 120 122 156 158	-257413157526
STPT(10)	1001336376130460339	0 2 12 14 30 32 48 50 60 62	661916953512
STPT(10)	1001336924545917899	0 2 78 80 120 122 162 164 240 242	1210332411072
STPT(10)	1001337083457531827	0 2 30 32 42 44 54 56 84 86	1369244025000
SPT(16)	1001337861677991883	0 28 48 160 166 180 226 238 288 300 346 360 366 478 498 526	2147464485056
SPT(16)	1001337893543962327	0 6 30 64 72 82 90 96 100 106 114 124 132 166 190 196	2179330455500