Prime p₀= 2049883027901343377 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: [SG-2W]Kurzer
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2049881796310084873	0 16 66 156 190 220 300 310 336 346 426 456 490 580 630 646	-1231591258504
STPT(10)	2049881908271327099	0 2 12 14 30 32 48 50 60 62	-1119630016278
SPT(16)	2049882676209614251	0 12 22 52 70 78 106 126 172 192 220 228 246 276 286 298	-351691729126
SPT(16)	2049882720464463641	0 32 92 126 162 170 182 212 276 306 318 326 362 396 456 488	-307436879736
STPT(10)	2049882821821185521	0 2 30 32 78 80 126 128 156 158	-206080157856
STPT(10)	2049882867620393747	0 2 30 32 42 44 54 56 84 86	-160280949630
SPT(16)	2049883149940739891	0 8 38 42 68 98 108 138 152 182 192 222 248 252 282 290	122039396514
SPT(16)	2049883299308143657	0 36 54 70 94 100 172 186 190 204 276 282 306 322 340 376	271406800280
STPT(12)	2049883465539020777	0 2 12 14 42 44 120 122 150 152 162 164	437637677400
SPT(16)	2049883787000107991	0 18 32 48 60 72 122 140 150 168 218 230 242 258 272 290	759098764614
SPT(16)	2049884447419924681	0 12 18 42 48 96 100 118 180 198 202 250 256 280 286 298	1419518581304