Prime p₀= 1042298799991133021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 100 2 100 2 34 2 (?)
a_n: 0 2 36 38 138 140 240 242 276 278
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: 278
Found by: Theadalus
db: batch=76, k=10, 2 34 2 100 2

SPT(16)	1042297189565354669	0 8 20 48 78 90 92 108 182 198 200 212 242 270 282 290	-1610425778352
STPT(10)	1042297275077574977	0 2 24 26 42 44 60 62 84 86	-1524913558044
SPT(16)	1042297369063872359	0 12 42 62 104 110 128 132 140 144 162 168 210 230 260 272	-1430927260662
STPT(10)	1042298345348412671	0 2 36 38 78 80 120 122 156 158	-454642720350
SPT(16)	1042298659612877399	0 24 38 80 84 90 120 122 150 152 182 188 192 234 248 272	-140378255622
STPT(10)	1042298665871046971	0 2 30 32 78 80 126 128 156 158	-134120086050
SPT(16)	1042298976402860459	0 12 24 50 84 90 92 134 138 180 182 188 222 248 260 272	176411727438
SPT(16)	1042299089482689517	0 72 84 90 96 112 220 222 304 306 414 430 436 442 454 526	289491556496
STPT(10)	1042299253421358857	0 2 12 14 42 44 72 74 84 86	453430225836
SPT(16)	1042299346126557223	0 24 40 64 70 124 148 154 174 180 204 258 264 288 304 328	546135424202
SPT(16)	1042299352732525477	0 52 90 120 132 150 192 196 210 214 256 274 286 316 354 406	552741392456