Prime p₀= 956750201333028149 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 32 36 22 30 30 30 8 34 8 30 30 30 22 36 32 (?)
a_n: 0 32 68 90 120 150 180 188 222 230 260 290 320 342 378 410
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: 410
Found by: HenkM
db: batch=76, k=16, 32 36 22 30 30 30 8 34

SPT(16)	956748657991940789	0 2 50 92 120 138 150 248 264 362 374 392 420 462 510 512	-1543341087360
SPT(16)	956749396165017523	0 18 24 28 60 94 124 126 148 150 180 214 246 250 256 274	-805168010626
STPT(10)	956749664527542209	0 2 42 44 60 62 78 80 120 122	-536805485940
STPT(10)	956749911223455491	0 2 6 8 18 20 30 32 36 38	-290109572658
SPT(16)	956750014382094511	0 12 22 40 42 82 90 96 112 118 126 166 168 186 196 208	-186950933638
SPT(16)	956750135940447557	0 62 66 86 150 206 224 246 260 282 300 356 420 440 444 506	-65392580592
SPT(16)	956750281160021501	0 30 38 66 132 140 170 182 216 228 258 266 332 360 368 398	79826993352
STPT(10)	956750882929781711	0 2 30 32 78 80 126 128 156 158	681596753562
STPT(10)	956750934654159941	0 2 6 8 18 20 30 32 36 38	733321131792
STPT(10)	956751095249997737	0 2 30 32 42 44 54 56 84 86	893916969588
TPT(14)	956751128961222689	0 2 12 14 48 50 78 80 150 152 162 164 180 182	927628194540