Prime p₀= 1022674578740348291 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: Theadalus
db: batch=76, k=10, 2 4 2 10 2

TPT(14)	1022673856294196399	0 2 18 20 60 62 102 104 138 140 192 194 228 230	-722446151892
SPT(16)	1022673916767034963	0 4 70 100 106 126 156 184 186 214 244 264 270 300 366 370	-661973313328
STPT(10)	1022674019651710211	0 2 30 32 60 62 90 92 120 122	-559088638080
STPT(10)	1022674356311768339	0 2 48 50 90 92 132 134 180 182	-222428579952
STPT(10)	1022674569828808607	0 2 12 14 42 44 72 74 84 86	-8911539684
SPT(16)	1022674574013556271	0 26 30 48 62 66 96 98 120 122 152 156 170 188 192 218	-4726792020
SPT(16)	1022674737874654693	0 64 70 78 148 154 168 174 184 190 204 210 280 288 294 358	159134306402
SPT(16)	1022674920406657481	0 20 38 80 108 116 126 146 162 182 192 200 228 270 288 308	341666309190
SPT(16)	1022674966276379177	0 24 42 56 66 72 80 110 126 156 164 170 180 194 212 236	387536030886
SPT(16)	1022675278698537733	0 54 76 84 106 114 174 180 184 190 250 258 280 288 310 364	699958189442
SPT(16)	1022675306787738449	0 2 32 42 48 62 108 170 252 314 360 374 380 390 420 422	728047390158