Prime p₀= 4305738203820770441 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Chooka
db: batch=85, k=10, 2 4 2 40 2

STPT(10)	4305735207709585721	0 2 36 38 78 80 120 122 156 158	-2996111184720
SPT(16)	4305735523277356633	0 10 28 108 136 166 168 180 196 208 210 240 268 348 366 376	-2680543413808
STPT(10)	4305736474718870417	0 2 30 32 72 74 114 116 144 146	-1729101900024
SPT(22)	4305736567569495767	0 2 14 62 86 122 150 212 216 284 296 330 342 410 414 476 504 540 564 612 624 626	-1636251274674
STPT(10)	4305736741052718887	0 2 24 26 42 44 60 62 84 86	-1462768051554
SPT(16)	4305737617163056717	0 12 30 66 76 90 100 114 262 276 286 300 310 346 364 376	-586657713724
SPT(16)	4305738309718180351	0 18 48 60 70 90 102 118 120 136 148 168 178 190 220 238	105897409910
SPT(20)	4305738688421123221	0 22 28 36 52 60 102 118 130 168 220 258 270 286 328 336 352 360 366 388	484600352780
SPT(16)	4305738723999160913	0 36 44 54 86 128 156 164 180 188 216 258 290 300 308 344	520178390472
SPT(16)	4305738891992553151	0 10 30 52 100 142 156 166 276 286 300 342 390 412 432 442	688171782710
SPT(16)	4305739096259531713	0 4 28 40 70 168 210 214 300 304 346 444 474 486 510 514	892438761272