Prime p₀= 2589575918796510911 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2589574488066587851	0 40 46 82 118 120 168 172 456 460 508 510 546 582 588 628	-1430729923060
STPT(12)	2589575065637782637	0 2 30 32 42 44 72 74 84 86 114 116	-853158728274
SPT(16)	2589575494783094813	0 48 56 80 156 168 270 290 294 314 416 428 504 528 536 584	-424013416098
SPT(16)	2589575617026539329	0 34 60 70 82 84 112 130 174 192 220 222 234 244 270 304	-301769971582
SPT(16)	2589575650861343689	0 10 18 88 168 178 184 304 354 474 480 490 570 640 648 658	-267935167222
STPT(10)	2589575776334347259	0 2 18 20 30 32 42 44 60 62	-142462163652
STPT(10)	2589575990491299497	0 2 30 32 120 122 210 212 240 242	71694788586
STPT(10)	2589576157732963307	0 2 30 32 42 44 54 56 84 86	238936452396
SPT(16)	2589576454054095383	0 26 54 86 126 128 138 204 230 296 306 308 348 380 408 434	535257584472
SPT(16)	2589576877806186137	0 2 30 36 60 62 72 74 102 104 114 116 140 146 174 176	959009675226
STPT(10)	2589577057022258057	0 2 42 44 72 74 102 104 144 146	1138225747146