Prime p₀= 2025724354064560727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Dingo
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2025722307265443307	0 30 52 72 82 126 132 156 160 184 190 234 244 264 286 316	-2046799117420
STPT(10)	2025722368020665099	0 2 42 44 120 122 198 200 240 242	-1986043895628
TPT(14)	2025722368020665099	0 2 42 44 120 122 198 200 240 242 258 260 288 290	-1986043895628
SPT(16)	2025722789794282627	0 12 46 94 130 166 210 256 300 346 390 426 462 510 544 556	-1564270278100
SPT(16)	2025723135767809301	0 32 96 98 140 162 182 192 236 246 266 288 330 332 396 428	-1218296751426
STPT(12)	2025724025830143701	0 2 18 20 60 62 108 110 150 152 168 170	-328234417026
SPT(16)	2025724374214446197	0 32 36 42 56 66 96 152 174 230 260 270 284 290 294 326	20149885470
STPT(10)	2025724425417579317	0 2 54 56 72 74 90 92 144 146	71353018590
STPT(10)	2025724433155130567	0 2 30 32 72 74 114 116 144 146	79090569840
STPT(10)	2025724560319188257	0 2 12 14 42 44 72 74 84 86	206254627530
STPT(10)	2025724842025489247	0 2 24 26 42 44 60 62 84 86	487960928520