Prime p₀= 2167598550544777247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2167597680763635697	0 40 52 66 76 82 90 96 136 142 150 156 166 180 192 232	-869781141550
SPT(18)	2167598259675041857	0 4 42 60 70 72 76 82 112 144 174 180 184 186 196 214 252 256	-290869735390
SPT(16)	2167598288555232187	0 4 70 96 100 132 156 232 264 340 364 396 400 426 492 496	-261989545060
SPT(16)	2167598405850395633	0 14 44 104 120 126 150 168 176 194 218 224 240 300 330 344	-144694381614
STPT(10)	2167598427666277811	0 2 6 8 18 20 30 32 36 38	-122878499436
SPT(16)	2167598453091676421	0 60 68 90 92 122 150 152 216 218 246 276 278 300 308 368	-97453100826
SPT(16)	2167598721841131853	0 28 84 126 156 196 208 214 360 366 378 418 448 490 546 574	171296354606
SPT(16)	2167599274446951211	0 18 28 60 96 118 138 150 196 208 228 250 286 318 328 346	723902173964
SPT(16)	2167599361983675827	0 20 32 50 54 116 146 176 180 210 240 302 306 324 336 356	811438898580
SPT(16)	2167599440957103163	0 6 58 106 118 124 138 238 336 436 450 456 468 516 568 574	890412325916
STPT(10)	2167599608048606489	0 2 18 20 30 32 42 44 60 62	1057503829242