Prime p₀= 2592599229204768599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2592597348828207163	0 16 18 24 28 66 100 126 178 204 238 276 280 286 288 304	-1880376561436
TPT(14)	2592597354087922997	0 2 12 14 30 32 90 92 102 104 114 116 294 296	-1875116845602
STPT(10)	2592597541514596151	0 2 6 8 48 50 90 92 96 98	-1687690172448
TPT(14)	2592597741385669091	0 2 6 8 126 128 138 140 156 158 270 272 468 470	-1487819099508
STPT(10)	2592597868273539911	0 2 36 38 78 80 120 122 156 158	-1360931228688
STPT(10)	2592598904169242321	0 2 66 68 138 140 210 212 276 278	-325035526278
SPT(16)	2592599241085438007	0 26 44 90 104 126 140 180 206 246 260 282 296 342 360 386	11880669408
STPT(10)	2592599823364743077	0 2 30 32 72 74 114 116 144 146	594159974478
SPT(16)	2592599844485868523	0 34 36 48 88 118 144 154 180 190 216 246 286 298 300 334	615281099924
STPT(10)	2592599950956837431	0 2 30 32 78 80 126 128 156 158	721752068832
SPT(16)	2592600611834409893	0 6 44 66 90 104 110 114 146 150 156 170 194 216 254 260	1382629641294