Prime p₀= 2864505320664734239 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 12 6 10 6 14 16 44 16 14 6 10 6 12 30 (?)
a_n: 0 30 42 48 58 64 78 94 138 154 168 174 184 190 202 232
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: 232
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 30 12 6 10 6 14 16 44

SPT(16)	2864504242685729717	0 30 54 56 86 126 192 212 234 254 320 360 390 392 416 446	-1077979004522
SPT(16)	2864504493344586437	0 14 86 114 122 164 204 206 210 212 252 294 302 330 402 416	-827320147802
STPT(10)	2864504518868225657	0 2 12 14 72 74 132 134 144 146	-801796508582
STPT(12)	2864504631852672197	0 2 42 44 72 74 102 104 132 134 174 176	-688812062042
SPT(16)	2864504708090789171	0 20 30 36 42 48 78 102 146 170 200 206 212 218 228 248	-612573945068
STPT(10)	2864505086444074427	0 2 12 14 72 74 132 134 144 146	-234220659812
SPT(16)	2864505462974436233	0 8 18 30 38 50 78 96 98 116 144 156 164 176 186 194	142309701994
STPT(10)	2864505549834725939	0 2 18 20 30 32 42 44 60 62	229169991700
SPT(16)	2864505613377640163	0 8 98 164 198 200 206 276 338 408 414 416 450 516 606 614	292712905924
STPT(10)	2864505635067566489	0 2 18 20 30 32 42 44 60 62	314402832250
TPT(14)	2864505685529344781	0 2 108 110 168 170 246 248 288 290 306 308 378 380	364864610542