Prime p₀= 1120049666906191919 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: crashtech
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1120048236881204209	0 34 52 88 90 94 118 132 190 204 228 232 234 270 288 322	-1430024987710
SPT(16)	1120048324992943651	0 100 118 160 186 198 328 336 340 348 478 490 516 558 576 676	-1341913248268
STPT(12)	1120048711154680079	0 2 12 14 42 44 48 50 78 80 90 92	-955751511840
SPT(13)	1120048828290875711	0 30 42 90 126 132 156 180 186 222 270 282 312	-838615316208
STPT(10)	1120048917102797567	0 2 30 32 72 74 114 116 144 146	-749803394352
STPT(10)	1120048998148614137	0 2 42 44 102 104 162 164 204 206	-668757577782
SPT(16)	1120049809397594629	0 12 64 82 120 138 154 162 190 198 214 232 270 288 340 352	142491402710
SPT(16)	1120049811613843651	0 52 60 72 100 102 112 126 286 300 310 312 340 352 360 412	144707651732
SPT(16)	1120049825321634659	0 12 84 128 152 158 182 188 264 270 294 300 324 368 440 452	158415442740
STPT(10)	1120050034582001231	0 2 36 38 78 80 120 122 156 158	367675809312
STPT(10)	1120050191822268989	0 2 18 20 60 62 102 104 120 122	524916077070