Prime p₀= 2865765690364181993 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 30 18 6 24 6 6 24 6 18 30 36 (?)
a_n: 0 36 66 84 90 114 120 126 150 156 174 204 240
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: 240
Found by: Landjunge
db: batch=82, k=13, 36 30 18 6 24 6

SPT(16)	2865762111468730183	0 34 48 54 154 190 234 268 300 334 378 414 514 520 534 568	-3578895451810
TPT(14)	2865762400969889327	0 2 12 14 84 86 174 176 240 242 252 254 342 344	-3289394292666
SPT(16)	2865763031348396119	0 24 54 72 90 114 124 132 142 150 160 184 202 220 250 274	-2659015785874
STPT(10)	2865763436046759509	0 2 18 20 30 32 42 44 60 62	-2254317422484
SPT(16)	2865764405312898431	0 66 80 102 110 122 132 138 200 206 216 228 236 258 272 338	-1285051283562
SPT(16)	2865764878401809437	0 16 30 42 70 72 76 102 154 180 184 186 214 226 240 256	-811962372556
STPT(10)	2865766167593932751	0 2 30 32 78 80 126 128 156 158	477229750758
STPT(10)	2865766173053240759	0 2 78 80 120 122 162 164 240 242	482689058766
STPT(10)	2865766189516095947	0 2 42 44 72 74 102 104 144 146	499151913954
SPT(16)	2865766243448846029	0 22 34 54 70 108 112 162 220 270 274 312 328 348 360 382	553084664036
TPT(14)	2865766442130466997	0 2 12 14 24 26 192 194 204 206 330 332 342 344	751766285004