Prime p₀= 802801937336674397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: [SG-2W]Kurzer
db: batch=73, k=10, 2 40 2 88 2

SPT(20)	802801244059586237	0 14 42 50 60 86 134 152 182 242 264 324 354 372 420 446 456 464 492 506	-693277088160
SPT(16)	802801330743020237	0 14 30 56 66 102 104 156 200 252 254 290 300 326 342 356	-606593654160
SPT(16)	802801481589421679	0 68 102 122 180 200 224 242 270 288 312 332 390 410 444 512	-455747252718
SPT(16)	802801815530520359	0 8 78 80 138 180 234 254 288 308 362 404 462 464 534 542	-121806154038
STPT(10)	802801834264048427	0 2 12 14 72 74 132 134 144 146	-103072625970
SPT(16)	802801868566821703	0 34 40 54 160 238 250 310 318 378 390 468 574 588 594 628	-68769852694
TPT(14)	802802389406207009	0 2 72 74 150 152 162 164 282 284 318 320 408 410	452069532612
SPT(16)	802802696697252341	0 30 48 62 72 122 128 146 192 210 216 266 276 290 308 338	759360577944
SPT(16)	802802769114880669	0 10 48 64 78 90 142 148 204 210 262 274 288 304 342 352	831778206272
SPT(16)	802802831713202527	0 16 72 96 106 124 132 160 336 364 372 390 400 424 480 496	894376528130
SPT(16)	802802908550697053	0 18 68 114 116 128 198 206 438 446 516 528 530 576 626 644	971214022656