Prime p₀= 2804740444606942757 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: Thundergrid
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2804738682552562141	0 22 28 40 42 96 106 130 138 162 172 226 228 240 246 268	-1762054380616
STPT(10)	2804739211372729157	0 2 90 92 102 104 114 116 204 206	-1233234213600
SPT(16)	2804739511428134359	0 10 18 58 72 88 112 148 192 228 252 268 282 322 330 340	-933178808398
STPT(10)	2804739570621232241	0 2 6 8 48 50 90 92 96 98	-873985710516
SPT(18)	2804739611138390579	0 14 42 44 62 84 90 92 120 134 162 164 170 192 210 212 240 254	-833468552178
SPT(16)	2804740128224300573	0 6 14 74 110 128 198 224 270 296 366 384 420 480 488 494	-316382642184
TPT(14)	2804740588659740411	0 2 18 20 90 92 156 158 168 170 246 248 258 260	144052797654
TPT(14)	2804740650271319897	0 2 90 92 144 146 222 224 282 284 294 296 324 326	205664377140
SPT(16)	2804740825889031031	0 112 118 126 192 198 216 226 312 322 340 346 412 420 426 538	381282088274
SPT(16)	2804741070424352909	0 2 38 42 68 120 128 134 168 174 182 234 260 264 300 302	625817410152
STPT(10)	2804741295251682011	0 2 36 38 78 80 120 122 156 158	850644739254