Prime p₀= 3016213989998963189 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Rantanplan
db: batch=82, k=10, 2 16 2 40 2

STPT(10)	3016212004577417837	0 2 42 44 72 74 102 104 144 146	-1985421545352
SPT(16)	3016212385222072249	0 30 54 58 64 90 178 180 262 264 352 378 384 388 412 442	-1604776890940
SPT(16)	3016212497195448581	0 6 20 30 66 92 116 162 170 216 240 266 302 312 326 332	-1492803514608
SPT(16)	3016212801950057371	0 16 36 60 70 72 90 102 256 268 286 288 298 322 342 358	-1188048905818
STPT(10)	3016212902717591177	0 2 30 32 42 44 54 56 84 86	-1087281372012
SPT(16)	3016213077802460729	0 98 102 128 134 144 162 222 260 320 338 348 354 380 384 482	-912196502460
SPT(16)	3016214120049828839	0 30 42 44 60 72 74 92 120 138 140 152 168 170 182 212	130050865650
STPT(10)	3016214592298779407	0 2 30 32 42 44 54 56 84 86	602299816218
TPT(14)	3016215027109695557	0 2 42 44 102 104 150 152 210 212 234 236 240 242	1037110732368
TPT(14)	3016215214944148337	0 2 30 32 42 44 180 182 240 242 264 266 282 284	1224945185148
SPT(16)	3016215665269864753	0 34 70 94 120 150 156 210 274 328 334 364 390 414 450 484	1675270901564