Prime p₀= 1038578324290350659 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: Theadalus
db: batch=76, k=10, 2 10 2 16 2

STPT(10)	1038576885308628179	0 2 42 44 90 92 138 140 180 182	-1438981722480
SPT(16)	1038577042480856897	0 36 42 72 120 126 212 236 330 354 440 446 494 524 530 566	-1281809493762
SPT(16)	1038577496122806631	0 36 46 52 66 70 76 90 148 162 168 172 186 192 202 238	-828167544028
SPT(16)	1038577672300905511	0 22 48 78 90 112 132 136 192 196 216 238 250 280 306 328	-651989445148
STPT(10)	1038577673484284579	0 2 48 50 60 62 72 74 120 122	-650806066080
SPT(16)	1038578140408369007	0 2 12 54 84 110 116 126 140 150 156 182 212 254 264 266	-183881981652
STPT(10)	1038578622130970741	0 2 6 8 18 20 30 32 36 38	297840620082
STPT(10)	1038578709392121587	0 2 30 32 42 44 54 56 84 86	385101770928
SPT(16)	1038578741652589859	0 2 8 12 38 74 140 152 210 222 288 324 350 354 360 362	417362239200
TPT(14)	1038578796067333877	0 2 24 26 30 32 180 182 210 212 222 224 252 254	471776983218
SPT(16)	1038579117634706863	0 28 34 48 76 118 124 130 174 180 186 228 256 270 276 304	793344356204