Prime p₀= 1057538107279421819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Theadalus
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1057537219513323457	0 54 90 132 142 156 160 174 262 276 280 294 304 346 382 436	-887766098362
STPT(10)	1057537450479154199	0 2 42 44 60 62 78 80 120 122	-656800267620
STPT(10)	1057537521823229771	0 2 30 32 78 80 126 128 156 158	-585456192048
SPT(20)	1057537526145130967	0 14 24 62 80 164 200 216 266 290 336 360 410 426 462 546 564 602 612 626	-581134290852
STPT(10)	1057537820736403997	0 2 12 14 72 74 132 134 144 146	-286543017822
SPT(13)	1057537947616536571	0 6 48 66 78 96 108 120 138 150 168 210 216	-159662885248
SPT(18)	1057538177701583411	0 8 12 30 42 98 182 186 212 276 302 306 390 446 458 476 480 488	70422161592
SPT(16)	1057538178714002771	0 42 62 66 126 128 132 146 192 206 210 212 272 276 296 338	71434580952
STPT(10)	1057538393517836861	0 2 36 38 78 80 120 122 156 158	286238415042
SPT(16)	1057538450076944911	0 36 52 60 66 82 88 108 190 210 216 232 238 246 262 298	342797523092
STPT(10)	1057538452625415347	0 2 30 32 72 74 114 116 144 146	345345993528