Prime p₀= 4506240508728734957 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: Stony666
db: batch=85, k=10, 2 28 2 10 2

TPT(14)	4506239479148390237	0 2 72 74 90 92 102 104 132 134 204 206 282 284	-1029580344720
SPT(16)	4506239510490792289	0 10 18 28 42 90 112 118 144 150 172 220 234 244 252 262	-998237942668
STPT(10)	4506239516512572869	0 2 18 20 30 32 42 44 60 62	-992216162088
SPT(16)	4506239636849556797	0 14 32 50 66 74 90 102 104 116 132 140 156 174 192 206	-871879178160
TPT(14)	4506239774203938269	0 2 30 32 72 74 78 80 90 92 132 134 198 200	-734524796688
TPT(14)	4506240508728734927	0 2 30 32 60 62 72 74 84 86 114 116 132 134	-30
SPT(16)	4506240569342026421	0 2 56 96 102 152 158 168 200 210 216 266 272 312 366 368	60613291464
SPT(16)	4506240613437823093	0 18 28 58 60 78 124 130 204 210 256 274 276 306 316 334	104709088136
STPT(10)	4506241224729224081	0 2 6 8 48 50 90 92 96 98	716000489124
SPT(16)	4506241361043087581	0 2 56 80 122 152 182 192 230 240 270 300 342 366 420 422	852314352624
SPT(16)	4506241407400536439	0 4 42 52 70 84 138 142 180 184 238 252 270 280 318 322	898671801482