Prime p₀= 1078214677531789921 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 18 4 6 68 6 70 84 14 136 26 136 14 84 70 6 68 6 4 18 (?)
a_n: 0 18 22 28 96 102 172 256 270 406 432 568 582 666 736 742 810 816 820 838
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 838
Found by: Daniel
db: batch=76, k=20, 18 4 6 68 6 70 84 14 136 26

STPT(10)	1078213692933322997	0 2 84 86 102 104 120 122 204 206	-984598466924
SPT(16)	1078213707786813361	0 12 18 40 70 78 108 192 268 352 382 390 420 442 448 460	-969744976560
SPT(16)	1078213724615001509	0 8 14 78 90 98 104 120 278 294 300 308 320 384 390 398	-952916788412
STPT(10)	1078213763785103717	0 2 30 32 72 74 114 116 144 146	-913746686204
STPT(10)	1078214392039971881	0 2 36 38 78 80 120 122 156 158	-285491818040
STPT(10)	1078214645327586761	0 2 36 38 78 80 120 122 156 158	-32204203160
TPT(14)	1078214991061022807	0 2 24 26 114 116 150 152 180 182 222 224 234 236	313529232886
SPT(16)	1078215072869374267	0 10 70 102 112 126 142 144 322 324 340 354 364 396 456 466	395337584346
STPT(10)	1078215113431767341	0 2 30 32 60 62 90 92 120 122	435899977420
SPT(16)	1078215709138033397	0 24 26 32 92 126 140 164 222 246 260 294 354 360 362 386	1031606243476
SPT(16)	1078215945491575357	0 42 96 132 166 190 244 246 250 252 306 330 364 400 454 496	1267959785436