Prime p₀= 1292856244477459157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Theadalus
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1292855396134598909	0 2 18 20 30 32 42 44 60 62	-848342860248
SPT(16)	1292855537114309279	0 38 42 62 74 104 132 152 180 200 228 258 270 290 294 332	-707363149878
SPT(16)	1292855715476500411	0 36 78 106 120 130 148 210 238 300 318 328 342 370 412 448	-529000958746
TPT(14)	1292855767325959049	0 2 12 14 42 44 48 50 78 80 120 122 210 212	-477151500108
SPT(16)	1292855944262618977	0 36 52 90 114 126 132 156 160 184 190 202 226 264 280 316	-300214840180
SPT(16)	1292855967461906821	0 10 22 42 78 142 168 198 262 292 318 382 418 438 450 460	-277015552336
SPT(16)	1292856396239424131	0 30 42 120 128 156 162 176 252 266 272 300 308 386 398 428	151761964974
SPT(16)	1292857264993897997	0 20 42 56 72 116 132 170 186 224 240 284 300 314 336 356	1020516438840
TPT(14)	1292857390849214147	0 2 42 44 72 74 192 194 222 224 240 242 312 314	1146371754990
STPT(10)	1292857432595694521	0 2 6 8 48 50 90 92 96 98	1188118235364
SPT(20)	1292858167686382153	0 10 16 24 54 64 106 114 120 124 180 184 190 198 240 250 280 288 294 304	1923208922996