Prime p₀= 1021132537066343027 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1021131305258570533	0 10 34 60 76 100 114 124 186 196 210 234 250 276 300 310	-1231807772494
SPT(16)	1021131347406326083	0 76 144 168 198 214 228 240 244 256 270 286 316 340 408 484	-1189660016944
SPT(16)	1021131561220898671	0 36 46 60 120 246 286 330 388 432 472 598 658 672 682 718	-975845444356
SPT(16)	1021131803763257779	0 48 84 112 118 124 160 214 258 312 348 354 360 388 424 472	-733303085248
SPT(16)	1021132263016470443	0 24 54 68 98 108 116 126 128 138 146 156 186 200 230 254	-274049872584
SPT(16)	1021132312518290341	0 10 12 42 52 88 96 118 180 202 210 246 256 286 288 298	-224548052686
SPT(16)	1021132760862244279	0 22 72 90 120 132 174 190 222 238 280 292 322 340 390 412	223795901252
STPT(10)	1021132881140923919	0 2 18 20 30 32 42 44 60 62	344074580892
STPT(10)	1021132988674684967	0 2 12 14 72 74 132 134 144 146	451608341940
STPT(10)	1021133061272517371	0 2 6 8 48 50 90 92 96 98	524206174344
STPT(12)	1021133993039010839	0 2 30 32 60 62 72 74 102 104 132 134	1455972667812