Prime p₀= 2736527004877513147 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 20 16 30 32 34 30 14 30 34 32 30 16 20 4 (?)
a_n: 0 4 24 40 70 102 136 166 180 210 244 276 306 322 342 346
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: 346
Found by: JayPi
db: batch=82, k=16, 4 20 16 30 32 34 30 14

SPT(16)	2736524098423137149	0 30 50 72 84 152 162 180 182 200 210 278 290 312 332 362	-2906454375998
STPT(10)	2736524359620214127	0 2 30 32 42 44 54 56 84 86	-2645257299020
STPT(10)	2736525518455644647	0 2 30 32 42 44 54 56 84 86	-1486421868500
SPT(16)	2736526085593447471	0 18 76 78 90 106 142 168 220 246 282 298 310 312 370 388	-919284065676
STPT(10)	2736526329635209751	0 2 6 8 48 50 90 92 96 98	-675242303396
SPT(16)	2736526858136900627	0 12 14 66 96 126 152 182 264 294 320 350 380 432 434 446	-146740612520
STPT(10)	2736527306293560749	0 2 12 14 30 32 48 50 60 62	301416047602
SPT(16)	2736527330707219073	0 6 30 38 44 48 56 96 98 138 146 150 156 164 188 194	325829705926
SPT(16)	2736527482819885463	0 80 98 114 134 164 168 206 498 536 540 570 590 606 624 704	477942372316
TPT(14)	2736527623586760737	0 2 54 56 84 86 192 194 240 242 264 266 312 314	618709247590
STPT(10)	2736527655420453359	0 2 48 50 90 92 132 134 180 182	650542940212