Prime p₀= 2016239774444716661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2016238561810650431	0 18 72 86 150 158 182 200 258 276 300 308 372 386 440 458	-1212634066230
STPT(10)	2016238578231407987	0 2 30 32 72 74 114 116 144 146	-1196213308674
SPT(16)	2016238999189414067	0 6 80 90 92 102 104 116 210 222 224 234 236 246 320 326	-775255302594
SPT(16)	2016239305385636677	0 10 142 196 264 286 346 364 372 390 450 472 540 594 726 736	-469059079984
STPT(10)	2016239520859118309	0 2 18 20 30 32 42 44 60 62	-253585598352
SPT(16)	2016239687698044461	0 32 50 146 158 210 242 252 266 276 308 360 372 468 486 518	-86746672200
SPT(16)	2016239985753436987	0 22 34 90 112 126 172 192 214 234 280 294 316 372 384 406	211308720326
SPT(16)	2016239995180140749	0 38 42 50 54 78 104 108 134 138 164 188 192 200 204 242	220735424088
SPT(16)	2016240100282050619	0 48 54 84 118 120 138 148 174 184 202 204 238 268 274 322	325837333958
STPT(10)	2016240642992369399	0 2 12 14 90 92 168 170 180 182	868547652738
SPT(18)	2016240648641791213	0 10 70 154 166 174 178 196 220 234 258 276 280 288 300 384 444 454	874197074552