Prime p₀= 2319233694036571901 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 88 2

SPT(16)	2319232536863298383	0 38 56 78 96 98 126 140 186 200 228 230 248 270 288 326	-1157173273518
STPT(10)	2319232757834656721	0 2 36 38 78 80 120 122 156 158	-936201915180
TPT(14)	2319232771649210141	0 2 48 50 90 92 96 98 168 170 180 182 348 350	-922387361760
SPT(16)	2319232794163723513	0 4 18 34 76 78 106 124 210 228 256 258 300 316 330 334	-899872848388
STPT(10)	2319233044121194211	0 2 6 8 48 50 90 92 96 98	-649915377690
STPT(10)	2319233438077229369	0 2 48 50 90 92 132 134 180 182	-255959342532
STPT(10)	2319234008255843351	0 2 30 32 78 80 126 128 156 158	314219271450
STPT(10)	2319234069265543049	0 2 42 44 90 92 138 140 180 182	375228971148
SPT(16)	2319234989101415617	0 12 36 46 72 82 96 100 126 130 144 154 180 190 214 226	1295064843716
STPT(10)	2319234998239370927	0 2 42 44 72 74 102 104 144 146	1304202799026
TPT(14)	2319235069833932009	0 2 42 44 48 50 90 92 180 182 258 260 282 284	1375797360108