Prime p₀= 3004310922758212757 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	3004308307291633289	0 2 48 50 78 80 120 122 132 134 180 182 210 212	-2615466579468
SPT(16)	3004308453148901557	0 52 94 102 124 130 136 184 192 240 246 252 274 282 324 376	-2469609311200
STPT(10)	3004308496543641281	0 2 36 38 78 80 120 122 156 158	-2426214571476
SPT(13)	3004310105709902287	0 30 90 96 126 204 210 216 294 324 330 390 420	-817048310470
STPT(10)	3004310206560813251	0 2 6 8 48 50 90 92 96 98	-716197399506
SPT(16)	3004310378777521549	0 24 42 54 72 108 112 142 150 180 184 220 238 250 268 292	-543980691208
STPT(10)	3004310957881378307	0 2 30 32 42 44 54 56 84 86	35123165550
SPT(16)	3004311121323800671	0 40 70 88 120 130 132 148 192 208 210 220 252 270 300 340	198565587914
SPT(16)	3004311585870418141	0 82 106 112 160 208 238 246 292 300 330 378 426 432 456 538	663112205384
SPT(16)	3004311931571966591	0 2 38 60 80 86 90 92 156 158 162 168 188 210 246 248	1008813753834
SPT(16)	3004311977233116367	0 4 12 52 76 94 136 154 192 210 252 270 294 334 342 346	1054474903610