Prime p₀= 1096941004756576121 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: [SG-2W]Kurzer
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1096939907685886333	0 4 10 60 90 94 114 154 174 214 234 238 268 318 324 328	-1097070689788
SPT(16)	1096940286897088807	0 12 24 40 54 70 106 120 196 210 246 262 276 292 304 316	-717859487314
TPT(14)	1096940433876190919	0 2 30 32 42 44 72 74 198 200 222 224 240 242	-570880385202
SPT(16)	1096940433920285153	0 36 56 66 96 140 168 176 180 188 216 260 290 300 320 356	-570836290968
STPT(12)	1096940660324541341	0 2 78 80 138 140 150 152 210 212 288 290	-344432034780
SPT(16)	1096940729027337949	0 18 30 40 42 52 94 150 172 228 270 280 282 292 304 322	-275729238172
STPT(10)	1096941579513322391	0 2 30 32 60 62 90 92 120 122	574756746270
STPT(10)	1096941727880975729	0 2 18 20 30 32 42 44 60 62	723124399608
SPT(16)	1096941862964364049	0 28 40 72 84 100 120 124 138 142 162 178 190 222 234 262	858207787928
STPT(12)	1096942996835942897	0 2 12 14 60 62 84 86 132 134 144 146	1992079366776
STPT(10)	1096943301106307927	0 2 24 26 42 44 60 62 84 86	2296349731806