Prime p₀= 2250578142821509817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2250576917781154843	0 18 24 34 58 90 96 126 268 298 304 336 360 370 376 394	-1225040354974
STPT(10)	2250577464407983757	0 2 54 56 72 74 90 92 144 146	-678413526060
SPT(16)	2250577592930836571	0 30 42 98 122 168 198 218 240 260 290 336 360 416 428 458	-549890673246
STPT(10)	2250577773776471297	0 2 12 14 72 74 132 134 144 146	-369045038520
STPT(10)	2250577920607378301	0 2 30 32 60 62 90 92 120 122	-222214131516
STPT(10)	2250577943153975087	0 2 42 44 72 74 102 104 144 146	-199667534730
SPT(16)	2250578199005947337	0 2 36 66 74 126 140 156 170 186 200 252 260 290 324 326	56184437520
SPT(16)	2250578208836335297	0 6 12 22 72 82 106 142 174 210 234 244 294 304 310 316	66014825480
STPT(10)	2250578222214519551	0 2 6 8 48 50 90 92 96 98	79393009734
STPT(10)	2250578371972781861	0 2 6 8 48 50 90 92 96 98	229151272044
SPT(16)	2250578527243814987	0 24 36 126 134 140 150 162 164 176 186 192 200 290 302 326	384422305170