Prime p₀= 4504040391336548561 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: Antares2022
db: batch=85, k=10, 2 34 2 40 2

SPT(16)	4504037379258964537	0 72 126 130 162 250 286 306 316 336 372 460 492 496 550 622	-3012077584024
STPT(10)	4504037639174689739	0 2 12 14 30 32 48 50 60 62	-2752161858822
SPT(16)	4504038111493537741	0 76 82 108 112 132 178 186 202 210 256 276 280 306 312 388	-2279843010820
SPT(13)	4504038216166814609	0 12 60 72 78 102 120 138 162 168 180 228 240	-2175169733952
TPT(14)	4504039814768371949	0 2 12 14 108 110 120 122 168 170 222 224 240 242	-576568176612
SPT(16)	4504040059759383947	0 12 86 96 156 212 216 282 350 416 420 476 536 546 620 632	-331577164614
SPT(16)	4504040433370281719	0 42 48 60 102 104 144 188 234 278 318 320 362 374 380 422	42033733158
TPT(14)	4504040500925445869	0 2 30 32 132 134 138 140 198 200 210 212 270 272	109588897308
SPT(16)	4504041751175436377	0 14 32 96 116 120 122 164 222 264 266 270 290 354 372 386	1359838887816
STPT(10)	4504041797772103127	0 2 30 32 72 74 114 116 144 146	1406435554566
STPT(10)	4504042011045227177	0 2 90 92 102 104 114 116 204 206	1619708678616