Prime p₀= 2815538922567993617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2815536223772044709	0 14 48 68 72 74 84 102 110 128 138 140 144 164 198 212	-2698795948908
STPT(10)	2815536322836489149	0 2 18 20 60 62 102 104 120 122	-2599731504468
SPT(16)	2815537448776016903	0 26 110 120 158 186 210 248 306 344 368 396 434 444 528 554	-1473791976714
SPT(16)	2815538084295505817	0 30 86 92 96 120 152 164 222 234 266 290 294 300 356 386	-838272487800
SPT(16)	2815538603540274377	0 54 62 72 84 96 104 110 126 132 140 152 164 174 182 236	-319027719240
TPT(14)	2815538742335132129	0 2 42 44 120 122 138 140 162 164 192 194 222 224	-180232861488
STPT(10)	2815539201766813139	0 2 48 50 60 62 72 74 120 122	279198819522
STPT(10)	2815539618897944201	0 2 6 8 48 50 90 92 96 98	696329950584
STPT(10)	2815539777111105521	0 2 36 38 78 80 120 122 156 158	854543111904
SPT(16)	2815539877254249149	0 2 8 14 32 44 90 132 140 182 228 240 258 264 270 272	954686255532
SPT(16)	2815539893310639071	0 2 36 62 80 90 146 150 152 156 212 222 240 266 300 302	970742645454