Prime p₀= 2638414693653302321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2638413155735996131	0 28 30 52 70 106 108 126 142 160 162 198 216 238 240 268	-1537917306190
STPT(10)	2638413197428910351	0 2 48 50 168 170 288 290 336 338	-1496224391970
SPT(16)	2638413413780335909	0 18 34 72 100 144 154 172 240 258 268 312 340 378 394 412	-1279872966412
STPT(10)	2638413513193257851	0 2 6 8 18 20 30 32 36 38	-1180460044470
STPT(10)	2638413794329719347	0 2 30 32 42 44 54 56 84 86	-899323582974
SPT(16)	2638413916037834213	0 30 60 80 96 116 164 200 234 270 318 338 354 374 404 434	-777615468108
STPT(10)	2638414916939291459	0 2 12 14 30 32 48 50 60 62	223285989138
SPT(16)	2638414996619113991	0 6 12 32 60 90 96 102 140 146 152 182 210 230 236 242	302965811670
SPT(16)	2638415015489722517	0 20 24 44 74 90 114 122 132 140 164 180 210 230 234 254	321836420196
SPT(16)	2638415568041190871	0 42 52 66 76 90 112 118 150 156 178 192 202 216 226 268	874387888550
TPT(14)	2638415578428019097	0 2 24 26 114 116 120 122 210 212 222 224 240 242	884774716776