Prime p₀= 1916788483179592991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: Landjunge
db: batch=80, k=10, 2 124 2 10 2

SPT(16)	1916786784255747401	0 78 176 186 210 240 252 296 342 386 398 428 452 462 560 638	-1698923845590
STPT(10)	1916787174108734021	0 2 6 8 48 50 90 92 96 98	-1309070858970
TPT(14)	1916787525050703647	0 2 12 14 60 62 144 146 192 194 210 212 240 242	-958128889344
SPT(16)	1916787688951605049	0 10 28 30 72 90 132 160 210 238 280 298 340 342 360 370	-794227987942
STPT(10)	1916788120375920731	0 2 36 38 78 80 120 122 156 158	-362803672260
STPT(10)	1916788409023127579	0 2 18 20 30 32 42 44 60 62	-74156465412
SPT(16)	1916788554611939881	0 10 12 52 70 130 148 162 178 192 210 270 288 328 330 340	71432346890
SPT(16)	1916788946317560617	0 14 32 80 84 102 126 156 170 200 224 242 246 294 312 326	463137967626
SPT(16)	1916789054477927849	0 44 90 104 150 164 170 174 224 228 234 248 294 308 354 398	571298334858
SPT(16)	1916789353514695717	0 4 12 24 40 52 70 72 94 96 114 126 142 154 162 166	870335102726
STPT(10)	1916789421600084929	0 2 18 20 30 32 42 44 60 62	938420491938