Prime p₀= 2120082757999790291 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2120081393352602357	0 20 30 44 56 60 86 90 140 144 170 174 186 200 210 230	-1364647187934
STPT(10)	2120082014963158451	0 2 6 8 18 20 30 32 36 38	-743036631840
SPT(16)	2120082029400317243	0 20 48 86 158 164 170 186 188 204 210 216 288 326 354 374	-728599473048
SPT(16)	2120082094259506781	0 20 50 60 92 98 120 138 230 248 270 276 308 318 348 368	-663740283510
SPT(16)	2120082215709704011	0 30 82 100 112 138 166 168 250 252 280 306 318 336 388 418	-542290086280
STPT(12)	2120082584653280711	0 2 48 50 78 80 90 92 120 122 168 170	-173346509580
STPT(10)	2120082831062513417	0 2 60 62 72 74 84 86 144 146	73062723126
STPT(10)	2120083164732693707	0 2 30 32 42 44 54 56 84 86	406732903416
TPT(14)	2120083429853062769	0 2 12 14 30 32 42 44 132 134 138 140 168 170	671853272478
STPT(10)	2120083503141918701	0 2 30 32 78 80 126 128 156 158	745142128410
SPT(13)	2120084124285887101	0 30 42 60 108 132 150 168 192 240 258 270 300	1366286096810