Prime p₀= 3004310206560813251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Orange Kid
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	3004307691011007701	0 8 12 26 38 42 78 80 138 140 176 180 192 206 210 218	-2515549805550
SPT(16)	3004307909926412137	0 16 34 46 60 72 94 96 130 132 154 166 180 192 210 226	-2296634401114
TPT(14)	3004308307291633289	0 2 48 50 78 80 120 122 132 134 180 182 210 212	-1899269179962
SPT(16)	3004308453148901557	0 52 94 102 124 130 136 184 192 240 246 252 274 282 324 376	-1753411911694
STPT(10)	3004308496543641281	0 2 36 38 78 80 120 122 156 158	-1710017171970
SPT(13)	3004310105709902287	0 30 90 96 126 204 210 216 294 324 330 390 420	-100850910964
SPT(16)	3004310378777521549	0 24 42 54 72 108 112 142 150 180 184 220 238 250 268 292	172216708298
STPT(10)	3004310922758212757	0 2 30 32 42 44 54 56 84 86	716197399506
STPT(10)	3004310957881378307	0 2 30 32 42 44 54 56 84 86	751320565056
SPT(16)	3004311121323800671	0 40 70 88 120 130 132 148 192 208 210 220 252 270 300 340	914762987420
SPT(16)	3004311585870418141	0 82 106 112 160 208 238 246 292 300 330 378 426 432 456 538	1379309604890