Prime p₀= 2042897569355677607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Orange Kid
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2042896824541065089	0 2 42 44 60 62 78 80 120 122	-744814612518
SPT(16)	2042896904651922967	0 64 70 84 96 114 154 156 214 216 256 274 286 300 306 370	-664703754640
SPT(16)	2042896943707856501	0 2 26 42 80 132 140 258 290 408 416 468 506 522 546 548	-625647821106
SPT(16)	2042897024964084229	0 40 58 70 114 120 142 154 168 180 202 208 252 264 282 322	-544391593378
SPT(16)	2042897392408807211	0 32 50 68 78 92 96 98 180 182 186 200 210 228 246 278	-176946870396
SPT(16)	2042897490962782613	0 14 24 80 126 176 194 210 284 300 318 368 414 470 480 494	-78392894994
STPT(10)	2042897606851606187	0 2 12 14 72 74 132 134 144 146	37495928580
STPT(10)	2042897844122609231	0 2 6 8 18 20 30 32 36 38	274766931624
SPT(16)	2042898134806551859	0 28 48 88 90 100 154 160 168 174 228 238 240 280 300 328	565450874252
TPT(14)	2042898183983344757	0 2 24 26 42 44 60 62 114 116 144 146 180 182	614627667150
SPT(16)	2042898198675570529	0 24 28 40 52 88 150 154 168 172 234 270 282 294 298 322	629319892922