Prime p₀= 2658276233613214307 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2658274000319086579	0 28 48 108 112 150 204 210 232 238 292 330 334 394 414 442	-2233294127728
STPT(10)	2658274046974735307	0 2 24 26 42 44 60 62 84 86	-2186638479000
SPT(16)	2658274517334637247	0 14 30 134 140 144 242 252 272 282 380 384 390 494 510 524	-1716278577060
SPT(16)	2658274828722554777	0 24 66 84 102 134 162 182 264 284 312 344 362 380 422 446	-1404890659530
STPT(10)	2658275270818898711	0 2 36 38 78 80 120 122 156 158	-962794315596
SPT(16)	2658276124831401419	0 8 44 60 74 78 90 140 192 242 254 258 272 288 324 332	-108781812888
STPT(10)	2658276580326991439	0 2 12 14 30 32 48 50 60 62	346713777132
STPT(10)	2658276623215036631	0 2 90 92 150 152 210 212 300 302	389601822324
STPT(10)	2658276692094475547	0 2 30 32 42 44 54 56 84 86	458481261240
SPT(16)	2658277110614816989	0 18 72 78 114 138 190 250 312 372 424 448 484 490 544 562	877001602682
SPT(16)	2658277360311324527	0 26 42 66 86 102 114 144 152 182 194 210 230 254 270 296	1126698110220