Prime p₀= 1458806142474369509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JonS
db: batch=78, k=10, 2 40 2 16 2

TPT(14)	1458804827840599607	0 2 12 14 42 44 84 86 144 146 210 212 222 224	-1314633769902
SPT(16)	1458804997727312513	0 50 56 116 158 174 204 210 224 230 260 276 318 378 384 434	-1144747056996
SPT(16)	1458805708263347099	0 38 42 54 84 108 120 132 140 152 164 188 218 230 234 272	-434211022410
STPT(10)	1458805864595753459	0 2 30 32 60 62 90 92 120 122	-277878616050
SPT(16)	1458805868801926261	0 18 28 40 58 126 166 180 268 282 322 390 408 420 430 448	-273672443248
STPT(10)	1458805985015925911	0 2 30 32 78 80 126 128 156 158	-157458443598
SPT(16)	1458806496012197021	0 2 8 18 42 50 60 128 132 200 210 218 242 252 258 260	353537827512
SPT(16)	1458807322999268867	0 14 20 32 42 50 80 92 132 144 174 182 192 204 210 224	1180524899358
SPT(16)	1458807324143508679	0 54 72 82 132 148 160 162 250 252 264 280 330 340 358 412	1181669139170
SPT(16)	1458807337109531653	0 6 10 18 28 66 84 118 126 160 178 216 226 234 238 244	1194635162144
STPT(10)	1458807452137987337	0 2 12 14 42 44 72 74 84 86	1309663617828