Prime p₀= 2591714790062686469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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 16 2 10 2

SPT(16)	2591713290171676709	0 24 80 98 114 128 224 230 258 264 360 374 390 408 464 488	-1499891009760
TPT(14)	2591713367478126161	0 2 48 50 96 98 156 158 210 212 216 218 270 272	-1422584560308
STPT(10)	2591713390711090769	0 2 12 14 30 32 48 50 60 62	-1399351595700
SPT(16)	2591713427145190219	0 34 48 78 124 160 174 198 214 238 252 288 334 364 378 412	-1362917496250
SPT(16)	2591714064404042527	0 22 76 102 112 154 186 222 244 280 312 354 364 390 444 466	-725658643942
SPT(16)	2591714298985817527	0 12 16 114 126 130 162 166 330 334 366 370 382 480 484 496	-491076868942
SPT(16)	2591714793957975559	0 4 30 42 82 118 124 132 250 258 264 300 340 352 378 382	3895289090
SPT(20)	2591714829476976569	0 44 78 90 92 114 132 150 158 164 168 174 182 200 218 240 242 254 288 332	39414290100
STPT(10)	2591714943088018841	0 2 36 38 78 80 120 122 156 158	153025332372
TPT(14)	2591715055064548199	0 2 12 14 48 50 90 92 138 140 222 224 372 374	265001861730
TPT(14)	2591715720152984021	0 2 36 38 48 50 78 80 186 188 210 212 240 242	930090297552