Prime p₀= 1590283496801458601 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: xii5ku
db: batch=78, k=10, 2 4 2 10 2

SPT(16)	1590282772615888699	0 12 18 22 78 102 150 214 228 292 340 364 420 424 430 442	-724185569902
SPT(18)	1590282975768617861	0 2 26 66 92 96 108 150 206 252 308 350 362 366 392 432 456 458	-521032840740
STPT(10)	1590282982446669557	0 2 54 56 72 74 90 92 144 146	-514354789044
SPT(13)	1590283033112107561	0 6 36 78 120 138 168 198 216 258 300 330 336	-463689351040
STPT(10)	1590283044320423741	0 2 36 38 78 80 120 122 156 158	-452481034860
SPT(16)	1590283402757001989	0 12 32 38 44 54 72 80 102 110 128 138 144 150 170 182	-94044456612
SPT(16)	1590283631463079849	0 10 48 72 84 88 108 112 150 154 174 178 190 214 252 262	134661621248
SPT(16)	1590284034391643567	0 12 42 62 92 114 116 120 236 240 242 264 294 314 344 356	537590184966
STPT(10)	1590284088551687057	0 2 60 62 72 74 84 86 144 146	591750228456
STPT(10)	1590284182379389967	0 2 30 32 42 44 54 56 84 86	685577931366
SPT(16)	1590284272975600067	0 50 54 74 92 162 164 182 204 222 224 294 312 332 336 386	776174141466