Prime p₀= 1949414588844023627 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: Time_Traveler
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	1949412633621464359	0 10 24 28 54 78 88 102 130 144 154 178 204 208 222 232	-1955222559268
STPT(10)	1949413353437058317	0 2 12 14 42 44 72 74 84 86	-1235406965310
TPT(14)	1949413449966658787	0 2 24 26 42 44 60 62 282 284 312 314 432 434	-1138877364840
SPT(16)	1949413669611099451	0 12 28 78 82 96 118 138 190 210 232 246 250 300 316 328	-919232924176
SPT(16)	1949414069951814841	0 22 42 46 70 72 88 112 156 180 196 198 222 226 246 268	-518892208786
STPT(10)	1949414403121254371	0 2 30 32 78 80 126 128 156 158	-185722769256
STPT(10)	1949414605126706951	0 2 30 32 78 80 126 128 156 158	16282683324
SPT(16)	1949414957944664641	0 6 16 46 48 82 96 112 186 202 216 250 252 282 292 298	369100641014
STPT(10)	1949415853114115159	0 2 12 14 90 92 168 170 180 182	1264270091532
TPT(14)	1949415859270253747	0 2 90 92 114 116 162 164 282 284 312 314 372 374	1270426230120
STPT(10)	1949415884898862307	0 2 12 14 72 74 132 134 144 146	1296054838680