Prime p₀= 1072032250653329237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1072031176653531803	0 20 80 86 98 120 144 164 210 230 254 276 288 294 354 374	-1073999797434
STPT(10)	1072031238426917051	0 2 6 8 48 50 90 92 96 98	-1012226412186
SPT(16)	1072031526087420641	0 2 36 68 110 158 182 222 266 306 330 378 420 452 486 488	-724565908596
STPT(10)	1072031626659452309	0 2 48 50 90 92 132 134 180 182	-623993876928
TPT(14)	1072031693458267109	0 2 78 80 120 122 150 152 162 164 252 254 282 284	-557195062128
SPT(16)	1072031706889966399	0 10 22 48 70 82 90 108 124 142 150 162 184 210 222 232	-543763362838
STPT(10)	1072032266229391457	0 2 12 14 42 44 72 74 84 86	15576062220
SPT(16)	1072032368379700069	0 4 30 60 90 102 132 154 198 220 250 262 292 322 348 352	117726370832
SPT(16)	1072032434250399623	0 24 44 78 140 198 218 240 248 270 290 348 410 444 464 488	183597070386
STPT(10)	1072032460835063009	0 2 42 44 60 62 78 80 120 122	210181733772
STPT(10)	1072032631771205771	0 2 6 8 18 20 30 32 36 38	381117876534