Prime p₀= 2444659129527873239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: JayPi
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2444657579386544549	0 2 18 20 30 32 42 44 60 62	-1550141328690
STPT(10)	2444657809959870677	0 2 42 44 72 74 102 104 144 146	-1319568002562
SPT(16)	2444658092407145977	0 36 40 42 60 66 82 84 172 174 190 196 214 216 220 256	-1037120727262
SPT(16)	2444658411949911943	0 4 34 78 126 130 144 148 216 220 234 238 286 330 360 364	-717577961296
TPT(14)	2444658435166627109	0 2 48 50 108 110 342 344 378 380 432 434 462 464	-694361246130
SPT(16)	2444658437058694039	0 18 42 52 94 124 130 150 172 192 198 228 270 280 304 322	-692469179200
SPT(16)	2444659134069418493	0 24 90 108 126 140 174 198 206 230 264 278 296 314 380 404	4541545254
SPT(16)	2444659158613934677	0 70 136 154 184 220 246 252 304 310 336 372 402 420 486 556	29086061438
SPT(16)	2444659371235044349	0 22 24 70 78 124 138 144 148 154 168 214 222 268 270 292	241707171110
SPT(16)	2444659550422541593	0 66 96 108 114 136 144 168 196 220 228 250 256 268 298 364	420894668354
STPT(10)	2444659950700671677	0 2 30 32 42 44 54 56 84 86	821172798438