Prime p₀= 2954970049250528921 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: Landjunge
db: batch=82, k=10, 2 76 2 28 2

SPT(16)	2954969234690563793	0 68 86 98 110 156 180 216 230 266 290 336 348 360 378 446	-814559965128
SPT(16)	2954969334254603167	0 6 22 46 66 94 106 124 132 150 162 190 210 234 250 256	-714995925754
STPT(10)	2954969406300921179	0 2 18 20 30 32 42 44 60 62	-642949607742
STPT(10)	2954969612670068171	0 2 6 8 48 50 90 92 96 98	-436580460750
SPT(16)	2954969843232374203	0 60 88 90 106 108 120 126 130 136 148 150 166 168 196 256	-206018154718
SPT(16)	2954969889217177589	0 38 60 62 72 104 132 164 168 200 228 260 270 272 294 332	-160033351332
STPT(10)	2954970107477297249	0 2 18 20 30 32 42 44 60 62	58226768328
SPT(16)	2954970136528986647	0 14 24 44 56 74 102 114 152 164 192 210 222 242 252 266	87278457726
STPT(10)	2954970210498828419	0 2 18 20 60 62 102 104 120 122	161248299498
SPT(16)	2954970256117114051	0 18 22 42 78 90 102 138 160 196 208 220 256 276 280 298	206866585130
SPT(16)	2954970430609151891	0 32 72 182 198 228 312 362 408 458 542 572 588 698 738 770	381358622970