Prime p₀= 2591714943088018841 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)	2591713427145190219	0 34 48 78 124 160 174 198 214 238 252 288 334 364 378 412	-1515942828622
SPT(16)	2591714064404042527	0 22 76 102 112 154 186 222 244 280 312 354 364 390 444 466	-878683976314
SPT(16)	2591714298985817527	0 12 16 114 126 130 162 166 330 334 366 370 382 480 484 496	-644102201314
STPT(10)	2591714790062686469	0 2 18 20 30 32 42 44 60 62	-153025332372
SPT(16)	2591714793957975559	0 4 30 42 82 118 124 132 250 258 264 300 340 352 378 382	-149130043282
SPT(20)	2591714829476976569	0 44 78 90 92 114 132 150 158 164 168 174 182 200 218 240 242 254 288 332	-113611042272
TPT(14)	2591715055064548199	0 2 12 14 48 50 90 92 138 140 222 224 372 374	111976529358
TPT(14)	2591715720152984021	0 2 36 38 48 50 78 80 186 188 210 212 240 242	777064965180
TPT(14)	2591715779614742741	0 2 30 32 36 38 78 80 120 122 186 188 210 212	836526723900
STPT(10)	2591715846113230547	0 2 12 14 42 44 72 74 84 86	903025211706
STPT(10)	2591716374500544059	0 2 18 20 30 32 42 44 60 62	1431412525218