Prime p₀= 1999513567041414239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: TheKillerChicken
db: batch=80, k=10, 2 10 2 16 2

SPT(16)	1999512523022309461	0 70 102 118 130 132 136 138 160 162 166 168 180 196 228 298	-1044019104778
STPT(10)	1999512608197118549	0 2 138 140 150 152 162 164 300 302	-958844295690
TPT(14)	1999512691449217337	0 2 72 74 204 206 240 242 324 326 330 332 414 416	-875592196902
SPT(16)	1999513266365817379	0 4 42 84 90 94 100 114 130 144 150 154 160 202 240 244	-300675596860
SPT(16)	1999513449115945153	0 18 24 30 84 94 108 124 144 160 174 184 238 244 250 268	-117925469086
SPT(16)	1999513485963924839	0 18 20 24 60 74 80 84 128 132 138 152 188 192 194 212	-81077489400
SPT(16)	1999513763629874161	0 18 42 112 118 132 160 180 238 258 286 300 306 376 400 418	196588459922
SPT(16)	1999513929507191011	0 6 10 48 88 96 106 148 150 192 202 210 250 288 292 298	362465776772
SPT(16)	1999513929979585871	0 92 122 126 140 146 158 168 200 210 222 228 242 246 276 368	362938171632
STPT(10)	1999514066826612779	0 2 18 20 60 62 102 104 120 122	499785198540
STPT(10)	1999514152807608917	0 2 30 32 42 44 54 56 84 86	585766194678