Prime p₀= 1282599826034729141 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: HenkM
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1282598366655383623	0 28 48 70 84 94 118 156 178 216 240 250 264 286 306 334	-1459379345518
STPT(10)	1282598370932561897	0 2 30 32 42 44 54 56 84 86	-1455102167244
TPT(14)	1282598760945252857	0 2 12 14 120 122 150 152 192 194 294 296 432 434	-1065089476284
SPT(16)	1282598874849428063	0 126 168 176 180 186 200 210 254 264 278 284 288 296 338 464	-951185301078
SPT(16)	1282599243587419027	0 30 54 72 90 100 112 114 142 144 156 166 184 202 226 256	-582447310114
SPT(16)	1282599635859274969	0 12 22 42 52 112 148 178 234 264 300 360 370 390 400 412	-190175454172
SPT(16)	1282600051148518397	0 12 42 66 72 86 96 110 126 140 150 164 170 194 224 236	225113789256
SPT(16)	1282600177605675557	0 66 96 110 150 230 266 314 342 390 426 506 546 560 590 656	351570946416
STPT(10)	1282600365729350579	0 2 18 20 30 32 42 44 60 62	539694621438
STPT(10)	1282601240214723629	0 2 12 14 90 92 168 170 180 182	1414179994488
SPT(16)	1282601422541760383	0 14 24 54 96 116 144 156 194 206 234 254 296 326 336 350	1596507031242