Prime p₀= 2387492968325736737 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 50 10 8 42 6 18 136 18 6 42 8 10 50 36 (?)
a_n: 0 36 86 96 104 146 152 170 306 324 330 372 380 390 440 476
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: 476
Found by: Xenon
db: batch=81, k=16, 36 50 10 8 42 6 18 136

SPT(16)	2387492306119738457	0 50 72 96 134 170 176 180 206 210 216 252 290 314 336 386	-662205998280
STPT(10)	2387492412345577679	0 2 18 20 30 32 42 44 60 62	-555980159058
TPT(16)	2387492663955434339	0 2 42 44 108 110 120 122 150 152 192 194 258 260 402 404	-304370302398
SPT(16)	2387492740429354511	0 38 42 50 78 90 98 116 132 150 158 170 198 206 210 248	-227896382226
TPT(14)	2387492835297242987	0 2 30 32 54 56 144 146 210 212 222 224 270 272	-133028493750
STPT(10)	2387492895600221711	0 2 30 32 78 80 126 128 156 158	-72725515026
STPT(10)	2387493420351457037	0 2 42 44 72 74 102 104 144 146	452025720300
TPT(14)	2387493521651309117	0 2 12 14 114 116 132 134 144 146 180 182 210 212	553325572380
SPT(16)	2387493577956053279	0 18 72 114 140 174 188 194 258 264 278 312 338 380 434 452	609630316542
STPT(10)	2387493582570763361	0 2 30 32 78 80 126 128 156 158	614245026624
SPT(16)	2387493588562656107	0 2 30 36 80 84 120 146 150 176 212 216 260 266 294 296	620236919370