Prime p₀= 1233811214593333231 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 60 28 14 16 24 48 2 4 2 48 24 16 14 28 60 (?)
a_n: 0 60 88 102 118 142 190 192 196 198 246 270 286 300 328 388
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: 388
Found by: MarkRBright
db: batch=77, k=16, 60 28 14 16 24 48 2 4

SPT(16)	1233810282499218509	0 2 50 68 72 120 134 140 222 228 242 290 294 312 360 362	-932094114722
SPT(16)	1233810328366866737	0 12 90 126 146 194 204 222 224 242 252 300 320 356 434 446	-886226466494
STPT(10)	1233810435419875679	0 2 42 44 60 62 78 80 120 122	-779173457552
STPT(10)	1233810762295642757	0 2 30 32 72 74 114 116 144 146	-452297690474
STPT(10)	1233810962357025719	0 2 18 20 30 32 42 44 60 62	-252236307512
SPT(16)	1233811036817811323	0 6 26 84 126 134 144 156 158 170 180 188 230 288 308 314	-177775521908
STPT(10)	1233811438200173969	0 2 42 44 90 92 138 140 180 182	223606840738
STPT(10)	1233811610047135739	0 2 42 44 90 92 138 140 180 182	395453802508
SPT(16)	1233811708423371083	0 24 86 96 116 164 186 240 320 374 396 444 464 474 536 560	493830037852
STPT(10)	1233812239723463549	0 2 30 32 120 122 210 212 240 242	1025130130318
STPT(10)	1233812382015608567	0 2 12 14 42 44 72 74 84 86	1167422275336