Prime p₀= 1051414749517622261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: stoneageman
db: batch=76, k=10, 2 28 2 46 2

SPT(16)	1051413243700971499	0 10 118 178 244 270 298 318 340 360 388 414 480 540 648 658	-1505816650762
STPT(10)	1051413260158334831	0 2 6 8 18 20 30 32 36 38	-1489359287430
STPT(10)	1051413472253723207	0 2 30 32 72 74 114 116 144 146	-1277263899054
TPT(14)	1051413539454007187	0 2 84 86 132 134 150 152 210 212 234 236 252 254	-1210063615074
STPT(10)	1051413804096162851	0 2 36 38 78 80 120 122 156 158	-945421459410
STPT(10)	1051413904812136427	0 2 42 44 72 74 102 104 144 146	-844705485834
STPT(10)	1051414853463122999	0 2 42 44 90 92 138 140 180 182	103945500738
STPT(10)	1051415056483649951	0 2 30 32 60 62 90 92 120 122	306966027690
TPT(14)	1051415171232431051	0 2 60 62 96 98 258 260 270 272 390 392 426 428	421714808790
SPT(16)	1051415233733004367	0 22 30 36 40 42 64 90 106 132 154 156 160 166 174 196	484215382106
STPT(10)	1051415398397750567	0 2 30 32 42 44 54 56 84 86	648880128306