Prime p₀= 1078167012745475867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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=76, k=10, 2 28 2 10 2

STPT(10)	1078165421877570161	0 2 36 38 78 80 120 122 156 158	-1590867905706
STPT(10)	1078165622057612861	0 2 36 38 108 110 180 182 216 218	-1390687863006
SPT(16)	1078166226414412241	0 2 32 56 60 72 80 120 122 162 170 182 186 210 240 242	-786331063626
SPT(16)	1078166914877648021	0 26 32 62 72 110 116 138 230 252 258 296 306 336 342 368	-97867827846
SPT(16)	1078166972785590911	0 6 60 138 182 222 236 270 278 312 326 366 410 488 542 548	-39959884956
SPT(16)	1078166979613989407	0 32 62 104 132 140 206 216 260 270 336 344 372 414 444 476	-33131486460
SPT(16)	1078167049324776247	0 16 46 72 90 126 204 226 300 322 400 436 454 480 510 526	36579300380
SPT(16)	1078167105298584241	0 42 52 120 136 156 162 178 180 196 202 222 238 306 316 358	92553108374
SPT(16)	1078167611131673969	0 8 128 132 162 212 242 300 350 408 438 488 518 522 642 650	598386198102
SPT(16)	1078167751972880113	0 4 6 24 46 48 76 90 94 108 136 138 160 178 180 184	739227404246
STPT(10)	1078168042093461167	0 2 30 32 60 62 90 92 120 122	1029347985300