Prime p₀= 2735165075253053537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Roadranner
db: batch=82, k=10, 2 88 2 40 2

SPT(16)	2735163486431748629	0 20 38 60 78 80 104 134 174 204 228 230 248 270 288 308	-1588821304908
STPT(10)	2735163684117860291	0 2 6 8 18 20 30 32 36 38	-1391135193246
SPT(16)	2735164053804216049	0 10 22 42 54 58 72 114 148 190 204 208 220 240 252 262	-1021448837488
STPT(10)	2735164237655379989	0 2 18 20 30 32 42 44 60 62	-837597673548
SPT(16)	2735164249154512849	0 10 24 48 58 78 84 88 90 94 100 120 130 154 168 178	-826098540688
TPT(14)	2735164679726206151	0 2 6 8 30 32 90 92 210 212 336 338 378 380	-395526847386
TPT(14)	2735165215523837189	0 2 60 62 120 122 162 164 168 170 198 200 342 344	140270783652
TPT(14)	2735165274200280011	0 2 30 32 60 62 96 98 180 182 198 200 210 212	198947226474
SPT(15)	2735165505403608413	0 36 66 78 168 258 300 318 336 378 468 558 570 600 636	430150554876
SPT(16)	2735165775352536167	0 14 20 24 32 66 90 96 110 116 140 174 182 186 192 206	700099482630
STPT(10)	2735166199699485437	0 2 30 32 42 44 54 56 84 86	1124446431900