Prime p₀= 3016789007531713259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3016787701326364243	0 4 10 36 40 54 66 90 124 148 160 174 178 204 210 214	-1306205349016
TPT(14)	3016787755320678929	0 2 30 32 72 74 78 80 120 122 132 134 168 170	-1252211034330
STPT(10)	3016787911607932247	0 2 30 32 60 62 90 92 120 122	-1095923781012
SPT(16)	3016788232906976701	0 18 46 82 88 120 138 162 196 220 238 270 276 312 340 358	-774624736558
SPT(16)	3016788240616241837	0 26 84 126 140 210 264 282 284 302 356 426 440 482 540 566	-766915471422
SPT(16)	3016788806179738517	0 2 6 12 20 36 44 56 90 102 110 126 134 140 144 146	-201351974742
STPT(10)	3016789303391851199	0 2 42 44 60 62 78 80 120 122	295860137940
SPT(16)	3016789456422818653	0 16 30 100 106 108 118 126 148 156 166 168 174 244 258 274	448891105394
SPT(16)	3016789772135826287	0 12 32 56 66 96 110 122 144 156 170 200 210 234 254 266	764604113028
STPT(10)	3016790220188162219	0 2 42 44 90 92 138 140 180 182	1212656448960
SPT(16)	3016790646279272207	0 20 56 60 134 174 230 234 242 246 302 342 416 420 456 476	1638747558948