Prime p₀= 2027257523471823791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: Orange Kid
db: batch=80, k=10, 2 28 2 46 2

SPT(16)	2027256481126414919	0 78 110 134 162 194 222 264 338 380 408 440 468 492 524 602	-1042345408872
SPT(16)	2027256668372657549	0 20 50 62 80 104 150 204 230 284 330 354 372 384 414 434	-855099166242
STPT(10)	2027256780324157157	0 2 12 14 42 44 72 74 84 86	-743147666634
STPT(10)	2027257118688830291	0 2 6 8 48 50 90 92 96 98	-404782993500
SPT(16)	2027257405065713581	0 18 76 78 106 120 132 148 150 166 178 192 220 222 280 298	-118406110210
SPT(16)	2027257449072287137	0 10 12 16 46 54 66 70 156 160 172 180 210 214 216 226	-74399536654
SPT(16)	2027257634489244457	0 40 46 70 76 82 102 112 114 124 144 150 156 180 186 226	111017420666
STPT(10)	2027257906579460297	0 2 12 14 42 44 72 74 84 86	383107636506
SPT(16)	2027258056511724313	0 6 34 36 114 124 160 216 238 294 330 340 418 420 448 454	533039900522
TPT(14)	2027258368621041299	0 2 102 104 120 122 132 134 168 170 252 254 330 332	845149217508
STPT(10)	2027258554575095729	0 2 18 20 30 32 42 44 60 62	1031103271938