Prime p₀= 2123342198541208633 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 6 20 16 62 10 2 64 2 10 62 16 20 6 4 (?)
a_n: 0 4 10 30 46 108 118 120 184 186 196 258 274 294 300 304
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: 304
Found by: Landjunge
db: batch=80, k=16, 4 6 20 16 62 10 2 64

SPT(16)	2123341255759810531	0 70 90 112 118 142 168 172 198 202 228 252 258 280 300 370	-942781398102
SPT(16)	2123341419494854511	0 12 18 36 50 56 96 98 120 122 162 168 182 200 206 218	-779046354122
SPT(16)	2123341614534220147	0 6 34 96 184 196 210 216 280 286 300 312 400 462 490 496	-584006988486
STPT(10)	2123341843536346187	0 2 30 32 42 44 54 56 84 86	-355004862446
SPT(16)	2123341892348603617	0 10 40 70 82 130 132 172 210 250 252 300 312 342 372 382	-306192605016
SPT(16)	2123342046062349187	0 6 34 84 130 144 150 154 186 190 196 210 256 306 334 340	-152478859446
SPT(16)	2123342854288829599	0 28 70 84 112 114 138 160 192 214 238 240 268 282 324 352	655747620966
STPT(10)	2123343309175042709	0 2 18 20 30 32 42 44 60 62	1110633834076
TPT(14)	2123343515590327319	0 2 42 44 78 80 120 122 210 212 312 314 342 344	1317049118686
STPT(10)	2123343703261206857	0 2 30 32 72 74 114 116 144 146	1504719998224
STPT(10)	2123343711680761649	0 2 48 50 60 62 72 74 120 122	1513139553016