Prime p₀= 1044807869554911347 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1044805536506989849	0 12 18 22 78 88 114 130 282 298 324 334 390 394 400 412	-2333047921498
TPT(14)	1044805800308430779	0 2 108 110 180 182 192 194 300 302 342 344 372 374	-2069246480568
STPT(10)	1044805838761878629	0 2 18 20 60 62 102 104 120 122	-2030793032718
SPT(16)	1044806907035318491	0 58 78 88 102 106 180 192 226 238 312 316 330 340 360 418	-962519592856
STPT(10)	1044807171695775989	0 2 48 50 90 92 132 134 180 182	-697859135358
STPT(10)	1044807797406720671	0 2 36 38 78 80 120 122 156 158	-72148190676
STPT(10)	1044808102656169121	0 2 6 8 48 50 90 92 96 98	233101257774
STPT(10)	1044808425788984567	0 2 12 14 42 44 72 74 84 86	556234073220
SPT(16)	1044808462595871089	0 30 44 78 98 152 162 174 218 230 240 294 314 348 362 392	593040959742
SPT(16)	1044808773733410689	0 12 38 48 50 78 132 150 152 170 224 252 254 264 290 302	904178499342
SPT(16)	1044808851283530299	0 92 182 198 212 240 248 282 290 324 332 360 374 390 480 572	981728618952