Prime p₀= 1071802827555633317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: XAVER
db: batch=76, k=10, 2 58 2 10 2

SPT(16)	1071801366606042383	0 6 36 68 78 128 156 188 198 230 258 308 318 350 380 386	-1460949590934
STPT(10)	1071801648101349689	0 2 18 20 30 32 42 44 60 62	-1179454283628
TPT(14)	1071801994057765379	0 2 48 50 90 92 120 122 162 164 168 170 222 224	-833497867938
SPT(16)	1071802210770937693	0 6 34 46 66 76 150 286 288 424 498 508 528 540 568 574	-616784695624
STPT(10)	1071802284186301697	0 2 30 32 42 44 54 56 84 86	-543369331620
SPT(16)	1071802652974169101	0 10 12 66 72 82 88 96 142 150 156 166 172 226 228 238	-174581464216
STPT(10)	1071802863703681589	0 2 18 20 30 32 42 44 60 62	36148048272
SPT(16)	1071803206473492443	0 20 26 56 66 84 86 104 150 168 170 188 198 228 234 254	378917859126
STPT(10)	1071803391293397599	0 2 12 14 90 92 168 170 180 182	563737764282
SPT(18)	1071803546341510453	0 18 28 34 58 64 78 100 120 154 174 196 210 216 240 246 256 274	718785877136
TPT(14)	1071803584856161187	0 2 42 44 60 62 132 134 312 314 330 332 354 356	757300527870