Prime p₀= 1051415056483649951 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: stoneageman
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	1051413472253723207	0 2 30 32 72 74 114 116 144 146	-1584229926744
TPT(14)	1051413539454007187	0 2 84 86 132 134 150 152 210 212 234 236 252 254	-1517029642764
STPT(10)	1051413804096162851	0 2 36 38 78 80 120 122 156 158	-1252387487100
STPT(10)	1051413904812136427	0 2 42 44 72 74 102 104 144 146	-1151671513524
STPT(10)	1051414749517622261	0 2 30 32 78 80 126 128 156 158	-306966027690
STPT(10)	1051414853463122999	0 2 42 44 90 92 138 140 180 182	-203020526952
TPT(14)	1051415171232431051	0 2 60 62 96 98 258 260 270 272 390 392 426 428	114748781100
SPT(16)	1051415233733004367	0 22 30 36 40 42 64 90 106 132 154 156 160 166 174 196	177249354416
STPT(10)	1051415398397750567	0 2 30 32 42 44 54 56 84 86	341914100616
SPT(16)	1051415401168104757	0 24 70 96 130 136 144 192 214 262 270 276 310 336 382 406	344684454806
SPT(16)	1051415667842773193	0 38 56 78 104 108 140 218 246 324 356 360 386 408 426 464	611359123242