Prime p₀= 2336677058803295941 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 42 18 36 60 18 22 44 22 18 60 36 18 42 36 (?)
a_n: 0 36 78 96 132 192 210 232 276 298 316 376 412 430 472 508
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 508
Found by: Orange Kid
db: batch=81, k=16, 36 42 18 36 60 18 22 44

SPT(16)	2336674930354939061	0 12 20 32 42 116 132 170 198 236 252 326 336 348 356 368	-2128448356880
SPT(16)	2336674983990137927	0 42 44 66 86 152 156 182 204 230 234 300 320 342 344 386	-2074813158014
STPT(10)	2336675040130449059	0 2 18 20 30 32 42 44 60 62	-2018672846882
STPT(10)	2336675295775236431	0 2 36 38 78 80 120 122 156 158	-1763028059510
STPT(10)	2336675385708070859	0 2 48 50 90 92 132 134 180 182	-1673095225082
STPT(10)	2336676001938932387	0 2 30 32 42 44 54 56 84 86	-1056864363554
STPT(10)	2336677165349991719	0 2 12 14 90 92 168 170 180 182	106546695778
SPT(16)	2336677285141173829	0 10 30 54 60 78 130 144 148 162 214 232 238 262 282 292	226337877888
SPT(16)	2336677307683448057	0 32 42 54 56 60 74 102 104 132 146 150 152 164 174 206	248880152116
SPT(18)	2336677336838376263	0 6 68 86 98 110 128 228 338 396 506 606 624 636 648 666 728 734	278035080322
SPT(16)	2336677470699374953	0 28 94 160 168 190 196 208 276 288 294 316 324 390 456 484	411896079012