Prime p₀= 2444657809959870677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2444655887310990971	0 36 56 120 146 158 282 308 330 356 480 492 518 582 602 638	-1922648879706
STPT(10)	2444656143679326041	0 2 36 38 108 110 180 182 216 218	-1666280544636
SPT(16)	2444656158049720037	0 2 24 30 42 44 90 104 132 146 192 194 206 212 234 236	-1651910150640
SPT(16)	2444656672982091947	0 12 14 26 42 56 120 144 242 266 330 344 360 372 374 386	-1136977778730
SPT(16)	2444656915632253313	0 54 80 84 140 150 194 200 210 216 260 270 326 330 356 410	-894327617364
STPT(10)	2444657579386544549	0 2 18 20 30 32 42 44 60 62	-230573326128
SPT(16)	2444658092407145977	0 36 40 42 60 66 82 84 172 174 190 196 214 216 220 256	282447275300
SPT(16)	2444658411949911943	0 4 34 78 126 130 144 148 216 220 234 238 286 330 360 364	601990041266
TPT(14)	2444658435166627109	0 2 48 50 108 110 342 344 378 380 432 434 462 464	625206756432
SPT(16)	2444658437058694039	0 18 42 52 94 124 130 150 172 192 198 228 270 280 304 322	627098823362
STPT(10)	2444659129527873239	0 2 42 44 60 62 78 80 120 122	1319568002562