Prime p₀= 1125025447875338489 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: crashtech
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1125023795416382747	0 2 30 32 72 74 114 116 144 146	-1652458955742
STPT(10)	1125024297319306049	0 2 78 80 120 122 162 164 240 242	-1150556032440
STPT(10)	1125024670257770309	0 2 18 20 30 32 42 44 60 62	-777617568180
SPT(16)	1125024761565552443	0 18 36 44 78 96 114 200 204 290 308 326 360 368 386 404	-686309786046
SPT(16)	1125025145407008233	0 6 24 38 78 86 120 126 128 134 168 176 216 230 248 254	-302468330256
SPT(16)	1125025402899919673	0 26 50 78 80 140 150 176 180 206 216 276 278 306 330 356	-44975418816
STPT(10)	1125025467853202327	0 2 24 26 42 44 60 62 84 86	19977863838
SPT(16)	1125025614360496609	0 28 48 60 78 102 118 132 250 264 280 304 322 334 354 382	166485158120
STPT(10)	1125025893277225967	0 2 30 32 42 44 54 56 84 86	445401887478
STPT(10)	1125025993860173729	0 2 42 44 60 62 78 80 120 122	545984835240
SPT(16)	1125026045037380399	0 14 18 68 104 114 128 170 198 240 254 264 300 350 354 368	597162041910