Prime p₀= 1277758881019503139 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 4 24 20 12 28 2 12 28 8 16 8 28 12 2 28 12 20 24 4 (?)
a_n: 0 4 28 48 60 88 90 102 130 138 154 162 190 202 204 232 244 264 288 292
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: 292
Found by: Theadalus
db: batch=77, k=20, 4 24 20 12 28 2 12 28 8 16

SPT(16)	1277757806231515573	0 18 24 34 54 100 118 126 268 276 294 340 360 370 376 394	-1074787987566
SPT(16)	1277757832157221619	0 14 24 68 110 114 140 150 158 168 194 198 240 284 294 308	-1048862281520
STPT(10)	1277758043242018967	0 2 30 32 72 74 114 116 144 146	-837777484172
SPT(16)	1277758476738289267	0 12 46 66 96 102 112 186 220 294 304 310 340 360 394 406	-404281213872
SPT(16)	1277758583114857567	0 10 22 42 66 72 100 162 184 246 274 280 304 324 336 346	-297904645572
STPT(10)	1277758692883684367	0 2 42 44 72 74 102 104 144 146	-188135818772
STPT(10)	1277758909447650557	0 2 30 32 72 74 114 116 144 146	28428147418
STPT(10)	1277759113970938127	0 2 60 62 72 74 84 86 144 146	232951434988
STPT(10)	1277759291021916299	0 2 42 44 60 62 78 80 120 122	410002413160
SPT(16)	1277760048425521721	0 2 68 132 140 146 198 222 296 320 372 378 386 450 516 518	1167406018582
SPT(16)	1277760405604693697	0 32 36 110 176 200 222 312 344 434 456 480 546 620 624 656	1524585190558