Prime p₀= 1125014584897194317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1125013363121659747	0 52 54 72 106 124 142 162 184 204 222 240 274 292 294 346	-1221775534570
TPT(14)	1125013570980577097	0 2 72 74 222 224 282 284 360 362 414 416 420 422	-1013916617220
STPT(10)	1125014185448993891	0 2 6 8 18 20 30 32 36 38	-399448200426
TPT(14)	1125014447852304617	0 2 12 14 60 62 84 86 114 116 150 152 210 212	-137044889700
SPT(16)	1125014463221899219	0 30 40 72 114 132 154 160 162 168 190 208 250 282 292 322	-121675295098
STPT(10)	1125014508447561449	0 2 12 14 90 92 168 170 180 182	-76449632868
STPT(10)	1125014620044508379	0 2 18 20 30 32 42 44 60 62	35147314062
TPT(14)	1125014859237961451	0 2 6 8 48 50 60 62 168 170 210 212 258 260	274340767134
SPT(16)	1125014989379592763	0 40 46 48 88 106 138 144 190 196 228 246 286 288 294 334	404482398446
STPT(10)	1125015286275372617	0 2 30 32 72 74 114 116 144 146	701378178300
SPT(16)	1125015431529674857	0 22 54 60 72 76 100 142 144 186 210 214 226 232 264 286	846632480540