Prime p₀= 3021033985085743709 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 12 42 30 6 84 18 18 84 6 30 42 12 (?)
a_n: 0 12 54 84 90 174 192 210 294 300 330 372 384
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 384
Found by: Alnitak2019
db: batch=82, k=13, 12 42 30 6 84 18

SPT(16)	3021032484805025599	0 52 60 72 94 112 130 150 172 192 210 228 250 262 270 322	-1500280718110
SPT(16)	3021032555011050301	0 22 30 40 42 60 66 102 106 142 148 166 168 178 186 208	-1430074693408
STPT(10)	3021032582962250069	0 2 12 14 90 92 168 170 180 182	-1402123493640
STPT(10)	3021033028359153287	0 2 30 32 42 44 54 56 84 86	-956726590422
STPT(10)	3021033259505505029	0 2 30 32 60 62 90 92 120 122	-725580238680
SPT(16)	3021033508918908547	0 10 84 184 186 220 234 240 250 256 270 304 306 406 480 490	-476166835162
SPT(16)	3021035204238751741	0 6 30 48 66 72 82 100 108 126 136 142 160 178 202 208	1219153008032
SPT(16)	3021035205942582589	0 54 120 154 220 222 238 304 348 414 430 432 498 532 598 652	1220856838880
STPT(10)	3021035259750536387	0 2 60 62 72 74 84 86 144 146	1274664792678
STPT(10)	3021035443601556737	0 2 30 32 72 74 114 116 144 146	1458515813028
SPT(16)	3021035656151310649	0 34 78 118 168 178 202 220 312 330 354 364 414 454 498 532	1671065566940