Prime p₀= 2123208997382873431 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 20 28 8 30 22 30 20 30 22 30 8 28 20 10 (?)
a_n: 0 10 30 58 66 96 118 148 168 198 220 250 258 286 306 316
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: 316
Found by: Dingo
db: batch=80, k=16, 10 20 28 8 30 22 30 20

STPT(10)	2123207179271138657	0 2 54 56 72 74 90 92 144 146	-1818111734774
SPT(16)	2123207369996376707	0 26 60 66 72 92 162 176 186 200 270 290 296 302 336 362	-1627386496724
SPT(16)	2123207476820309701	0 6 28 52 70 76 82 96 112 126 132 138 156 180 202 208	-1520562563730
STPT(10)	2123207569464797951	0 2 36 38 78 80 120 122 156 158	-1427918075480
STPT(10)	2123207765133253817	0 2 12 14 72 74 132 134 144 146	-1232249619614
TPT(16)	2123208041862725009	0 2 90 92 150 152 168 170 210 212 258 260 342 344 360 362	-955520148422
TPT(14)	2123209248289996511	0 2 108 110 168 170 240 242 306 308 318 320 390 392	250907123080
STPT(12)	2123209660851341939	0 2 30 32 42 44 48 50 60 62 90 92	663468468508
SPT(16)	2123209931571803323	0 30 34 36 58 60 78 84 160 166 184 186 208 210 214 244	934188929892
SPT(16)	2123209994676180409	0 52 60 94 154 234 250 252 262 264 280 360 420 454 462 514	997293306978
STPT(10)	2123210108644882247	0 2 42 44 72 74 102 104 144 146	1111262008816