Prime p₀= 1006303281575667809 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 18 12 12 66 72 30 30 72 66 12 12 18 (?)
a_n: 0 18 30 42 108 180 210 240 312 378 390 402 420
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: 420
Found by: HenkM
db: batch=76, k=13, 18 12 12 66 72 30

SPT(16)	1006302149761809833	0 18 36 38 48 116 140 168 206 234 258 326 336 338 356 374	-1131813857976
SPT(20)	1006302401721732629	0 2 42 54 68 98 128 134 182 230 282 330 378 384 414 444 458 470 510 512	-879853935180
STPT(10)	1006302471414896471	0 2 6 8 48 50 90 92 96 98	-810160771338
STPT(10)	1006302757463757581	0 2 36 38 78 80 120 122 156 158	-524111910228
TPT(14)	1006303024691310131	0 2 30 32 60 62 78 80 90 92 186 188 198 200	-256884357678
SPT(16)	1006303044624052163	0 20 48 60 126 128 156 170 186 200 228 230 296 308 336 356	-236951615646
SPT(16)	1006303493067633689	0 14 54 68 78 84 144 162 200 218 278 284 294 308 348 362	211491965880
STPT(10)	1006303688054347607	0 2 42 44 222 224 402 404 444 446	406478679798
SPT(16)	1006304139921586183	0 58 96 108 138 168 178 250 396 468 478 508 538 550 588 646	858345918374
STPT(10)	1006304710037357741	0 2 6 8 48 50 90 92 96 98	1428461689932
SPT(16)	1006304825971824367	0 16 60 70 112 126 172 214 312 354 400 414 456 466 510 526	1544396156558