Prime p₀= 1951544801012816687 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

TPT(14)	1951543793203856441	0 2 30 32 36 38 186 188 228 230 300 302 336 338	-1007808960246
STPT(10)	1951544108968253711	0 2 6 8 18 20 30 32 36 38	-692044562976
SPT(16)	1951544349276863507	0 6 20 50 126 150 204 260 390 446 500 524 600 630 644 650	-451735953180
SPT(18)	1951544521966086503	0 36 56 78 86 96 114 120 134 240 254 260 278 288 296 318 338 374	-279046730184
SPT(16)	1951544546966541937	0 12 22 34 42 60 82 132 154 204 226 244 252 264 274 286	-254046274750
SPT(16)	1951544582179212883	0 10 30 36 64 70 76 78 106 108 114 120 148 154 174 184	-218833603804
STPT(10)	1951545474230358701	0 2 30 32 78 80 126 128 156 158	673217542014
SPT(18)	1951545567431199863	0 14 68 110 128 156 168 216 236 288 308 356 368 396 414 456 510 524	766418383176
STPT(10)	1951545903079617671	0 2 30 32 78 80 126 128 156 158	1102066800984
SPT(16)	1951546509654166679	0 8 20 44 50 60 78 90 242 254 272 282 288 312 324 332	1708641349992
SPT(16)	1951546658847772643	0 66 86 90 104 128 144 180 284 320 336 360 374 378 398 464	1857834955956