Prime p₀= 4123151596298328623 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 54 2 28 2 30 4 6 68 6 4 30 2 28 2 54 (?)
a_n: 0 54 56 84 86 116 120 126 194 200 204 234 236 264 266 320
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: 320
Found by: Ralfy
db: batch=85, k=16, 54 2 28 2 30 4 6 68

SPT(16)	4123150492207304881	0 12 30 42 58 88 120 142 168 190 222 252 268 280 298 310	-1104091023742
TPT(14)	4123150495094943029	0 2 48 50 102 104 258 260 312 314 342 344 378 380	-1101203385594
SPT(16)	4123150758683934407	0 30 44 56 62 96 126 132 134 140 170 204 210 222 236 266	-837614394216
SPT(16)	4123151123291659601	0 2 20 32 60 62 72 102 116 146 156 158 186 198 216 218	-473006669022
STPT(10)	4123151153364617789	0 2 18 20 30 32 42 44 60 62	-442933710834
SPT(16)	4123151192449164641	0 56 86 98 110 122 140 146 282 288 306 318 330 342 372 428	-403849163982
STPT(10)	4123151698563175307	0 2 30 32 42 44 54 56 84 86	102264846684
SPT(16)	4123152343296154361	0 6 18 30 42 62 78 90 128 140 156 176 188 200 212 218	746997825738
STPT(10)	4123152632289643739	0 2 42 44 90 92 138 140 180 182	1035991315116
STPT(10)	4123153289554432487	0 2 54 56 72 74 90 92 144 146	1693256103864
STPT(10)	4123153558565309501	0 2 36 38 78 80 120 122 156 158	1962266980878